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42888408687252 = 22322921416581077
BaseRepresentation
bin10011100000001101111000…
…10111010110001010010100
312121212002110221110020200100
421300012330113112022110
521110140430110443002
6231114355110414100
712014404514561442
oct1160067427261224
9177762427406610
1042888408687252
1112735965672937
124988089361330
131ac148a016b9b
14a83b4ab19b92
154e595c7d311c
hex2701bc5d6294

42888408687252 has 54 divisors (see below), whose sum is σ = 112279632823358. Its totient is φ = 13803166004544.

The previous prime is 42888408687169. The next prime is 42888408687253. The reversal of 42888408687252 is 25278680488824.

42888408687252 is a `hidden beast` number, since 4 + 28 + 88 + 408 + 6 + 8 + 72 + 52 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11527355878416 + 31361052808836 = 3395196^2 + 5600094^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42888408687253) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 708260263 + ... + 708320814.

Almost surely, 242888408687252 is an apocalyptic number.

It is an amenable number.

42888408687252 is an abundant number, since it is smaller than the sum of its proper divisors (69391224136106).

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

42888408687252 is a wasteful number, since it uses less digits than its factorization.

42888408687252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416581145 (or 1416581111 counting only the distinct ones).

The product of its (nonzero) digits is 880803840, while the sum is 72.

The spelling of 42888408687252 in words is "forty-two trillion, eight hundred eighty-eight billion, four hundred eight million, six hundred eighty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 7569 10092 15138 30276 1416581077 2833162154 4249743231 5666324308 8499486462 12749229693 16998972924 25498459386 41080851233 50996918772 82161702466 123242553699 164323404932 246485107398 369727661097 492970214796 739455322194 1191344685757 1478910644388 2382689371514 3574034057271 4765378743028 7148068114542 10722102171813 14296136229084 21444204343626 42888408687252