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1057772154312 = 233319257741753
BaseRepresentation
bin11110110010010000010…
…00100010110111001000
310202010021221220221111000
433121020020202313020
5114312304132414222
62125533412135000
7136264402650546
oct17311010426710
93663257827430
101057772154312
11378664894575
12151005907460
13789942c4b33
14392a7090d96
151c7ad5eb9ac
hexf648222dc8

1057772154312 has 64 divisors (see below), whose sum is σ = 3092901048000. Its totient is φ = 334033310592.

The previous prime is 1057772154281. The next prime is 1057772154359. The reversal of 1057772154312 is 2134512777501.

1057772154312 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 77 + 21 + 543 + 12 = 666.

It is a super-2 number, since 2×10577721543122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128866773 + ... + 128874980.

It is an arithmetic number, because the mean of its divisors is an integer number (48326578875).

Almost surely, 21057772154312 is an apocalyptic number.

1057772154312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1057772154312 is an abundant number, since it is smaller than the sum of its proper divisors (2035128893688).

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

1057772154312 is a wasteful number, since it uses less digits than its factorization.

1057772154312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257741787 (or 257741777 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 1057772154312 in words is "one trillion, fifty-seven billion, seven hundred seventy-two million, one hundred fifty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 257741753 515483506 773225259 1030967012 1546450518 2061934024 2319675777 3092901036 4639351554 4897093307 6185802072 6959027331 9278703108 9794186614 13918054662 14691279921 18557406216 19588373228 27836109324 29382559842 39176746456 44073839763 55672218648 58765119684 88147679526 117530239368 132221519289 176295359052 264443038578 352590718104 528886077156 1057772154312