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3775994090112 = 27341499947977
BaseRepresentation
bin110110111100101010110…
…010010101001010000000
3111100222111112001102220010
4312330222302111022000
5443331213441340422
612010400121544520
7536543440122456
oct66745262251200
914328445042803
103775994090112
111226432251022
1250b990945140
132150c81c126a
14d0a8ad249d6
1568350278b0c
hex36f2ac95280

3775994090112 has 128 divisors (see below), whose sum is σ = 10276887600000. Its totient is φ = 1227694325760.

The previous prime is 3775994090059. The next prime is 3775994090137. The reversal of 3775994090112 is 2110904995773.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78680268 + ... + 78728244.

It is an arithmetic number, because the mean of its divisors is an integer number (80288184375).

Almost surely, 23775994090112 is an apocalyptic number.

3775994090112 is a gapful number since it is divisible by the number (32) 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 3775994090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138443800000).

3775994090112 is an abundant number, since it is smaller than the sum of its proper divisors (6500893509888).

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

3775994090112 is a wasteful number, since it uses less digits than its factorization.

3775994090112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53034 (or 53022 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 57.

The spelling of 3775994090112 in words is "three trillion, seven hundred seventy-five billion, nine hundred ninety-four million, ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 4999 5248 7872 9998 14997 15744 19996 29994 39992 47977 59988 79984 95954 119976 143931 159968 191908 204959 239952 287862 319936 383816 409918 479904 575724 614877 639872 767632 819836 959808 1151448 1229754 1535264 1639672 1919616 1967057 2302896 2459508 3070528 3279344 3934114 4605792 4919016 5901171 6141056 6558688 7868228 9211584 9838032 11802342 13117376 15736456 18423168 19676064 23604684 26234752 31472912 39352128 47209368 62945824 78704256 94418736 125891648 188837472 239837023 251783296 377674944 479674046 719511069 755349888 959348092 1439022138 1918696184 2878044276 3837392368 5756088552 7674784736 9833317943 11512177104 15349569472 19666635886 23024354208 29499953829 30699138944 39333271772 46048708416 58999907658 78666543544 92097416832 117999815316 157333087088 235999630632 314666174176 471999261264 629332348352 943998522528 1258664696704 1887997045056 3775994090112