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253553401035252 = 223247249676002093
BaseRepresentation
bin111001101001101100000000…
…011001100111100111110100
31020020202110122110201222022100
4321221230000121213213310
5231213204331131112002
62255132454023102100
7104256425434344003
oct7151540031474764
91206673573658270
10253553401035252
117387643684079a
1224530420ba1930
13ab62ca1bc8616
14468809b634c3a
151e4a78c2ca11c
hexe69b006679f4

253553401035252 has 72 divisors (see below), whose sum is σ = 654589716109056. Its totient is φ = 82716222337344.

The previous prime is 253553401035251. The next prime is 253553401035287. The reversal of 253553401035252 is 252530104355352.

253553401035252 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 534 + 0 + 10 + 3 + 52 + 52 = 666.

253553401035252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253553401035198 and 253553401035207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253553401035251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39243118 + ... + 45245210.

It is an arithmetic number, because the mean of its divisors is an integer number (9091523834848).

Almost surely, 2253553401035252 is an apocalyptic number.

It is an amenable number.

253553401035252 is an abundant number, since it is smaller than the sum of its proper divisors (401036315073804).

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

253553401035252 is a wasteful number, since it uses less digits than its factorization.

253553401035252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027117 (or 6027112 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

The spelling of 253553401035252 in words is "two hundred fifty-three trillion, five hundred fifty-three billion, four hundred one million, thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 24967 49934 74901 99868 149802 224703 299604 449406 898812 1173449 2346898 3520347 4693796 6002093 7040694 10561041 12004186 14081388 18006279 21122082 24008372 36012558 42244164 54018837 72025116 108037674 216075348 282098371 564196742 846295113 1128393484 1692590226 2538885339 3385180452 5077770678 10155541356 149854255931 299708511862 449562767793 599417023724 899125535586 1348688303379 1798251071172 2697376606758 5394753213516 7043150028757 14086300057514 21129450086271 28172600115028 42258900172542 63388350258813 84517800345084 126776700517626 253553401035252