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1054345335432 = 233283715485039
BaseRepresentation
bin11110101011110111110…
…00010001001010001000
310201210110010202111201020
433111323320101022020
5114233244401213212
62124205355352440
7136113442324134
oct17257370211210
93653403674636
101054345335432
11377166500854
1215040a152720
137856936bc5c
143905dd023c4
151c65c847d8c
hexf57be11288

1054345335432 has 32 divisors (see below), whose sum is σ = 2636792611200. Its totient is φ = 351324542144.

The previous prime is 1054345335431. The next prime is 1054345335479. The reversal of 1054345335432 is 2345335434501.

1054345335432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10543453354322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054345335431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7674432 + ... + 7810607.

It is an arithmetic number, because the mean of its divisors is an integer number (82399769100).

Almost surely, 21054345335432 is an apocalyptic number.

1054345335432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054345335432 is an abundant number, since it is smaller than the sum of its proper divisors (1582447275768).

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

1054345335432 is a wasteful number, since it uses less digits than its factorization.

1054345335432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15487885 (or 15487881 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

The spelling of 1054345335432 in words is "one trillion, fifty-four billion, three hundred forty-five million, three hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 2837 5674 8511 11348 17022 22696 34044 68088 15485039 30970078 46455117 61940156 92910234 123880312 185820468 371640936 43931055643 87862111286 131793166929 175724222572 263586333858 351448445144 527172667716 1054345335432