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10053551104 = 210292331453
BaseRepresentation
bin10010101110011110…
…10000010000000000
3221221122112022102121
421113033100100000
5131042202113404
64341334254024
7504064526422
oct112717202000
927848468377
1010053551104
114299a70823
121b46ab7314
13c42b1a00c
146b5302812
153dc939e54
hex2573d0400

10053551104 has 88 divisors (see below), whose sum is σ = 20893892760. Its totient is φ = 4829282304.

The previous prime is 10053551099. The next prime is 10053551107. The reversal of 10053551104 is 40115535001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2835349504 + 7218201600 = 53248^2 + 84960^2 .

It is not an unprimeable number, because it can be changed into a prime (10053551107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6918442 + ... + 6919894.

Almost surely, 210053551104 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 10053551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10446946380).

10053551104 is an abundant number, since it is smaller than the sum of its proper divisors (10840341656).

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

10053551104 is a wasteful number, since it uses less digits than its factorization.

10053551104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 10053551104 in words is "ten billion, fifty-three million, five hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 233 256 464 466 512 928 932 1024 1453 1856 1864 2906 3712 3728 5812 6757 7424 7456 11624 13514 14848 14912 23248 27028 29696 29824 42137 46496 54056 59648 84274 92992 108112 119296 168548 185984 216224 238592 337096 338549 371968 432448 674192 677098 743936 864896 1348384 1354196 1487872 1729792 2696768 2708392 3459584 5393536 5416784 6919168 9817921 10787072 10833568 19635842 21574144 21667136 39271684 43148288 43334272 78543368 86668544 157086736 173337088 314173472 346674176 628346944 1256693888 2513387776 5026775552 10053551104