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113244025163535 = 3457471056780429
BaseRepresentation
bin11001101111111010101101…
…111001001000111100001111
3112211222000121211012202220000
4121233322231321020330033
5104320342230420213120
61040503330441255343
732565416340451260
oct3157725571107417
9484860554182800
10113244025163535
11330a0580a37042
121084b54aa94553
134b25b34094c46
141dd707bd0a967
15d15b0c458990
hex66feade48f0f

113244025163535 has 160 divisors (see below), whose sum is σ = 236962006364160. Its totient is φ = 50661810816768.

The previous prime is 113244025163527. The next prime is 113244025163573. The reversal of 113244025163535 is 535361520442311.

113244025163535 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 4 + 4 + 0 + 2 + 5 + 1 + 635 + 3 + 5 = 666.

It is not a de Polignac number, because 113244025163535 - 23 = 113244025163527 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1407959701 + ... + 1408040129.

It is an arithmetic number, because the mean of its divisors is an integer number (1481012539776).

Almost surely, 2113244025163535 is an apocalyptic number.

113244025163535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113244025163535 is an abundant number, since it is smaller than the sum of its proper divisors (123717981200625).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113244025163535 is a wasteful number, since it uses less digits than its factorization.

113244025163535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91067 (or 91058 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 113244025163535 in words is "one hundred thirteen trillion, two hundred forty-four billion, twenty-five million, one hundred sixty-three thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 47 63 81 105 135 141 189 235 315 329 405 423 567 705 945 987 1269 1645 2115 2835 2961 3807 4935 6345 8883 10567 14805 19035 26649 31701 44415 52835 73969 80429 95103 133245 158505 221907 241287 285309 369845 402145 475515 496649 563003 665721 723861 855927 1109535 1206435 1426545 1489947 1689009 1997163 2171583 2483245 2815015 3328605 3476543 3619305 3780163 4279635 4469841 5067027 5991489 6514749 7449735 8445045 9985815 10429629 10857915 11340489 13409523 15201081 17382715 18900815 22349205 25335135 26461141 29957445 31288887 32573745 34021467 40228569 45603243 52148145 56702445 67047615 76005405 79383423 93866661 102064401 132305705 156444435 170107335 201142845 228016215 238150269 281599983 306193203 396917115 469333305 510322005 714450807 849893243 1190751345 1407999915 1530966015 2143352421 2549679729 3572254035 4249466215 5949252701 7649039187 10716762105 12748398645 17847758103 22947117561 29746263505 38245195935 39944982421 53543274309 68841352683 89238790515 114735587805 119834947263 160629822927 199724912105 267716371545 279614876947 344206763415 359504841789 481889468781 599174736315 803149114635 838844630841 1078514525367 1398074384735 1797524208945 2409447343905 2516533892523 3235543576101 4194223154205 5392572626835 7549601677569 12582669462615 16177717880505 22648805032707 37748008387845 113244025163535