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11270730445392 = 24311773120122993
BaseRepresentation
bin1010010000000010101111…
…1000100111001001010000
31110220110201120202021101110
42210000223320213021100
52434124423443223032
635545411352333320
72242166131043355
oct244005370471120
943813646667343
1011270730445392
113655987566660
1213204149a4240
13639a962c9882
142ad71329062c
1514829e4277cc
hexa402be27250

11270730445392 has 160 divisors (see below), whose sum is σ = 31831923805056. Its totient is φ = 3407966208000.

The previous prime is 11270730445349. The next prime is 11270730445453. The reversal of 11270730445392 is 29354403707211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490169448 + ... + 490192440.

Almost surely, 211270730445392 is an apocalyptic number.

11270730445392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11270730445392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15915961902528).

11270730445392 is an abundant number, since it is smaller than the sum of its proper divisors (20561193359664).

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

11270730445392 is a wasteful number, since it uses less digits than its factorization.

11270730445392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24989 (or 24983 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 11270730445392 in words is "eleven trillion, two hundred seventy billion, seven hundred thirty million, four hundred forty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 773 1201 1546 2319 2402 3092 3603 4638 4804 6184 7206 8503 9276 9608 12368 13211 14412 17006 18552 19216 22993 25509 26422 28824 34012 37104 39633 45986 51018 52844 57648 68024 68979 79266 91972 102036 105688 136048 137958 158532 183944 204072 211376 252923 275916 317064 367888 408144 505846 551832 634128 758769 928373 1011692 1103664 1517538 1856746 2023384 2785119 3035076 3713492 4046768 5570238 6070152 7426984 10212103 11140476 12140304 14853968 17773589 20424206 22280952 27614593 30636309 35547178 40848412 44561904 53320767 55229186 61272618 71094356 81696824 82843779 106641534 110458372 122545236 142188712 163393648 165687558 195509479 213283068 220916744 245090472 284377424 303760523 331375116 391018958 426566136 441833488 490180944 586528437 607521046 662750232 782037916 853132272 911281569 1173056874 1215042092 1325500464 1564075832 1822563138 2346113748 2430084184 3128151664 3645126276 4692227496 4860168368 7290252552 9384454992 14580505104 21346080389 42692160778 64038241167 85384321556 128076482334 170768643112 234806884279 256152964668 341537286224 469613768558 512305929336 704420652837 939227537116 1024611858672 1408841305674 1878455074232 2817682611348 3756910148464 5635365222696 11270730445392