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45717214344 = 23319653153533
BaseRepresentation
bin101010100100111101…
…010101010010001000
311101000010000010011220
4222210331111102020
51222112101324334
633000250322040
73205625624124
oct524475252210
9141003003156
1045717214344
11184301a287a
128a3a729320
134407699a29
1422d9a08584
1512c88b1449
hexaa4f55488

45717214344 has 64 divisors (see below), whose sum is σ = 120493483200. Its totient is φ = 14414812416.

The previous prime is 45717214327. The next prime is 45717214373. The reversal of 45717214344 is 44341271754.

It is a junction number, because it is equal to n+sod(n) for n = 45717214296 and 45717214305.

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, 221002 + ... + 374534.

It is an arithmetic number, because the mean of its divisors is an integer number (1882710675).

Almost surely, 245717214344 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 45717214344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60246741600).

45717214344 is an abundant number, since it is smaller than the sum of its proper divisors (74776268856).

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

45717214344 is a wasteful number, since it uses less digits than its factorization.

45717214344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154214 (or 154210 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The spelling of 45717214344 in words is "forty-five billion, seven hundred seventeen million, two hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 653 1306 1959 2612 3918 5224 7836 12407 15672 24814 37221 49628 74442 99256 148884 153533 297768 307066 460599 614132 921198 1228264 1842396 2917127 3684792 5834254 8751381 11668508 17502762 23337016 35005524 70011048 100257049 200514098 300771147 401028196 601542294 802056392 1203084588 1904883931 2406169176 3809767862 5714651793 7619535724 11429303586 15239071448 22858607172 45717214344