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257116054712 = 231121012629859
BaseRepresentation
bin1110111101110101001…
…1111010010010111000
3220120122212012220001012
43233131103322102320
513203033202222322
6314041213213052
724401401255646
oct3573523722270
9816585186035
10257116054712
119a051345500
12419b7791188
131b32743a05a
14c63193c196
156a4c909ae2
hex3bdd4fa4b8

257116054712 has 48 divisors (see below), whose sum is σ = 535150211400. Its totient is φ = 115713752000.

The previous prime is 257116054691. The next prime is 257116054717. The reversal of 257116054712 is 217450611752.

It is a super-2 number, since 2×2571160547122 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257116054712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257116054717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1217162 + ... + 1412697.

Almost surely, 2257116054712 is an apocalyptic number.

257116054712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257116054712 is an abundant number, since it is smaller than the sum of its proper divisors (278034156688).

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

257116054712 is a wasteful number, since it uses less digits than its factorization.

257116054712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629988 (or 2629973 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 41.

The spelling of 257116054712 in words is "two hundred fifty-seven billion, one hundred sixteen million, fifty-four thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2222 4444 8888 12221 24442 48884 97768 2629859 5259718 10519436 21038872 28928449 57856898 115713796 231427592 265615759 318212939 531231518 636425878 1062463036 1272851756 2124926072 2545703512 2921773349 5843546698 11687093396 23374186792 32139506839 64279013678 128558027356 257116054712