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31479045104 = 24138915710831
BaseRepresentation
bin11101010100010011…
…000001101111110000
310000020211101011211102
4131110103001233300
51003432113420404
622243345103532
72163036316463
oct352423015760
9100224334742
1031479045104
1112394111561
126126327ba8
132c7892b410
141748a552da
15c438d471e
hex7544c1bf0

31479045104 has 80 divisors (see below), whose sum is σ = 66849471360. Its totient is φ = 14272727040.

The previous prime is 31479045097. The next prime is 31479045109. The reversal of 31479045104 is 40154097413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31479045109) by changing a digit.

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, 2900969 + ... + 2911799.

It is an arithmetic number, because the mean of its divisors is an integer number (835618392).

Almost surely, 231479045104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31479045104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33424735680).

31479045104 is an abundant number, since it is smaller than the sum of its proper divisors (35370426256).

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

31479045104 is a wasteful number, since it uses less digits than its factorization.

31479045104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11098 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 31479045104 in words is "thirty-one billion, four hundred seventy-nine million, forty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 89 104 157 178 208 314 356 628 712 1157 1256 1424 2041 2314 2512 4082 4628 8164 9256 10831 13973 16328 18512 21662 27946 32656 43324 55892 86648 111784 140803 173296 181649 223568 281606 363298 563212 726596 963959 1126424 1453192 1700467 1927918 2252848 2906384 3400934 3855836 6801868 7711672 12531467 13603736 15423344 22106071 25062934 27207472 44212142 50125868 88424284 100251736 151341563 176848568 200503472 302683126 353697136 605366252 1210732504 1967440319 2421465008 3934880638 7869761276 15739522552 31479045104