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1054465320432 = 243411889928351
BaseRepresentation
bin11110101100000110000…
…01111110010111110000
310201210202111112101012010
433112003001332113300
5114234021110223212
62124225323202520
7136116430223466
oct17260301762760
93653674471163
101054465320432
11377218202307
12150442376440
137858818c0b4
1439071c16836
151c66814903c
hexf58307e5f0

1054465320432 has 80 divisors (see below), whose sum is σ = 2790721382400. Its totient is φ = 342885312000.

The previous prime is 1054465320427. The next prime is 1054465320511. The reversal of 1054465320432 is 2340235644501.

It is a super-2 number, since 2×10544653204322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 37179057 + ... + 37207407.

It is an arithmetic number, because the mean of its divisors is an integer number (34884017280).

Almost surely, 21054465320432 is an apocalyptic number.

1054465320432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054465320432 is an abundant number, since it is smaller than the sum of its proper divisors (1736256061968).

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

1054465320432 is a wasteful number, since it uses less digits than its factorization.

1054465320432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47302 (or 47296 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 1054465320432 in words is "one trillion, fifty-four billion, four hundred sixty-five million, three hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 18899 28351 37798 56697 56702 75596 85053 113394 113404 151192 170106 226788 226808 302384 340212 453576 453616 680424 774859 907152 1162391 1360848 1549718 2324577 2324782 3099436 3487173 4649154 4649564 6198872 6974346 9298308 9299128 12397744 13948692 18596616 18598256 27897384 37193232 55794768 535805549 1071611098 1607416647 2143222196 3214833294 4286444392 6429666588 8572888784 12859333176 21968027509 25718666352 43936055018 65904082527 87872110036 131808165054 175744220072 263616330108 351488440144 527232660216 1054465320432