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2057367647232 = 21032788328319
BaseRepresentation
bin11101111100000100101…
…010101111010000000000
321021200102111012021120100
4131330010222233100000
5232201442104202412
64213050332442400
7301432326313632
oct35740452572000
97250374167510
102057367647232
11723585446297
12292894319400
1311c016831771
14718118bca52
15387b45adedc
hex1df04aaf400

2057367647232 has 132 divisors (see below), whose sum is σ = 5941567831680. Its totient is φ = 685678006272.

The previous prime is 2057367647227. The next prime is 2057367647311. The reversal of 2057367647232 is 2327467637502.

2057367647232 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 367 + 6 + 47 + 232 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72635569 + ... + 72663887.

Almost surely, 22057367647232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057367647232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970783915840).

2057367647232 is an abundant number, since it is smaller than the sum of its proper divisors (3884200184448).

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

2057367647232 is a wasteful number, since it uses less digits than its factorization.

2057367647232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36228 (or 36207 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 54.

The spelling of 2057367647232 in words is "two trillion, fifty-seven billion, three hundred sixty-seven million, six hundred forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 7883 9216 15766 23649 28319 31532 47298 56638 63064 70947 84957 94596 113276 126128 141894 169914 189192 226552 252256 254871 283788 339828 378384 453104 504512 509742 567576 679656 756768 906208 1009024 1019484 1135152 1359312 1513536 1812416 2018048 2038968 2270304 2718624 3027072 3624832 4036096 4077936 4540608 5437248 6054144 7249664 8072192 8155872 9081216 10874496 12108288 14499328 16311744 18162432 21748992 24216576 28998656 32623488 36324864 43497984 65246976 72649728 86995968 130493952 223238677 260987904 446477354 669716031 892954708 1339432062 1785909416 2009148093 2678864124 3571818832 4018296186 5357728248 7143637664 8036592372 10715456496 14287275328 16073184744 21430912992 28574550656 32146369488 42861825984 57149101312 64292738976 85723651968 114298202624 128585477952 171447303936 228596405248 257170955904 342894607872 514341911808 685789215744 1028683823616 2057367647232