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3831364964352 = 2123793946801
BaseRepresentation
bin110111110000001111001…
…001011101000000000000
3111120021102102010021220010
4313300033021131000000
51000233113412324402
612052034343544520
7543543536566632
oct67601711350000
914507372107803
103831364964352
111247966703412
1251a66445b140
1321a3b08a4083
14d3620a98a52
15699e13d3a6c
hex37c0f25d000

3831364964352 has 104 divisors (see below), whose sum is σ = 10345041658240. Its totient is φ = 1260955238400.

The previous prime is 3831364964347. The next prime is 3831364964353. The reversal of 3831364964352 is 2534694631383.

It is a junction number, because it is equal to n+sod(n) for n = 3831364964292 and 3831364964301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3831364964353) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1002649 + ... + 2944152.

Almost surely, 23831364964352 is an apocalyptic number.

3831364964352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3831364964352 is an abundant number, since it is smaller than the sum of its proper divisors (6513676693888).

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

3831364964352 is an equidigital number, since it uses as much as digits as its factorization.

3831364964352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946907 (or 3946885 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 57.

The spelling of 3831364964352 in words is "three trillion, eight hundred thirty-one billion, three hundred sixty-four million, nine hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1024 1264 1536 1896 2048 2528 3072 3792 4096 5056 6144 7584 10112 12288 15168 20224 30336 40448 60672 80896 121344 161792 242688 323584 485376 970752 3946801 7893602 11840403 15787204 23680806 31574408 47361612 63148816 94723224 126297632 189446448 252595264 311797279 378892896 505190528 623594558 757785792 935391837 1010381056 1247189116 1515571584 1870783674 2020762112 2494378232 3031143168 3741567348 4041524224 4988756464 6062286336 7483134696 8083048448 9977512928 12124572672 14966269392 16166096896 19955025856 24249145344 29932538784 39910051712 48498290688 59865077568 79820103424 119730155136 159640206848 239460310272 319280413696 478920620544 638560827392 957841241088 1277121654784 1915682482176 3831364964352