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11899246464 = 27337491867
BaseRepresentation
bin10110001010100000…
…00001011110000000
31010201021112100111000
423011100001132000
5143332201341324
65244430052000
7600605632440
oct130520013600
933637470430
1011899246464
1150568a5a96
12238104a000
131178319051
1480c4b2120
154999bc9c9
hex2c5401780

11899246464 has 128 divisors (see below), whose sum is σ = 40136428800. Its totient is φ = 3399777792.

The previous prime is 11899246459. The next prime is 11899246501. The reversal of 11899246464 is 46464299811.

11899246464 is a `hidden beast` number, since 11 + 89 + 92 + 4 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×118992464642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11899246464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221742 + ... + 270125.

It is an arithmetic number, because the mean of its divisors is an integer number (313565850).

Almost surely, 211899246464 is an apocalyptic number.

11899246464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11899246464 is an abundant number, since it is smaller than the sum of its proper divisors (28237182336).

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

11899246464 is an equidigital number, since it uses as much as digits as its factorization.

11899246464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491897 (or 491879 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 11899246464 in words is "eleven billion, eight hundred ninety-nine million, two hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 491867 983734 1475601 1967468 2951202 3443069 3934936 4426803 5902404 6886138 7869872 8853606 10329207 11804808 13280409 13772276 15739744 17707212 20658414 23609616 26560818 27544552 30987621 31479488 35414424 41316828 47219232 53121636 55089104 61975242 62958976 70828848 82633656 92962863 94438464 106243272 110178208 123950484 141657696 165267312 185925726 188876928 212486544 220356416 247900968 283315392 330534624 371851452 424973088 440712832 495801936 566630784 661069248 743702904 849946176 991603872 1322138496 1487405808 1699892352 1983207744 2974811616 3966415488 5949623232 11899246464