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1045855399968 = 25331434184407
BaseRepresentation
bin11110011100000011101…
…01101111000000100000
310200222112110110002201000
433032001311233000200
5114113402440244333
62120243114512000
7135363162135531
oct17160165570040
93628473402630
101045855399968
113735aa120665
1214a83aa35600
1377815488ac2
1438896542688
151c312321713
hexf381d6f020

1045855399968 has 96 divisors (see below), whose sum is σ = 3050660430720. Its totient is φ = 348590027520.

The previous prime is 1045855399937. The next prime is 1045855400021. The reversal of 1045855399968 is 8699935585401.

1045855399968 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 8 + 553 + 9 + 9 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1045855399896 and 1045855399905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12348421 + ... + 12432827.

It is an arithmetic number, because the mean of its divisors is an integer number (31777712820).

Almost surely, 21045855399968 is an apocalyptic number.

1045855399968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1045855399968 is an abundant number, since it is smaller than the sum of its proper divisors (2004805030752).

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

1045855399968 is a wasteful number, since it uses less digits than its factorization.

1045855399968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98767 (or 98753 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 1045855399968 in words is "one trillion, forty-five billion, eight hundred fifty-five million, three hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14341 28682 43023 57364 84407 86046 114728 129069 168814 172092 229456 253221 258138 337628 344184 387207 458912 506442 516276 675256 688368 759663 774414 1012884 1032552 1350512 1376736 1519326 1548828 2025768 2065104 2278989 2701024 3038652 3097656 4051536 4130208 4557978 6077304 6195312 8103072 9115956 12154608 12390624 18231912 24309216 36463824 72927648 1210480787 2420961574 3631442361 4841923148 7262884722 9683846296 10894327083 14525769444 19367692592 21788654166 29051538888 32682981249 38735385184 43577308332 58103077776 65365962498 87154616664 116206155552 130731924996 174309233328 261463849992 348618466656 522927699984 1045855399968