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45717214360 = 23559130314867
BaseRepresentation
bin101010100100111101…
…010101010010011000
311101000010000010012111
4222210331111102120
51222112101324420
633000250322104
73205625624146
oct524475252230
9141003003174
1045717214360
11184301a2894
128a3a729334
134407699a3c
1422d9a08596
1512c88b145a
hexaa4f55498

45717214360 has 64 divisors (see below), whose sum is σ = 104694508800. Its totient is φ = 17961933696.

The previous prime is 45717214327. The next prime is 45717214373. The reversal of 45717214360 is 6341271754.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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, 3067647 + ... + 3082513.

It is an arithmetic number, because the mean of its divisors is an integer number (1635851700).

Almost surely, 245717214360 is an apocalyptic number.

45717214360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45717214360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52347254400).

45717214360 is an abundant number, since it is smaller than the sum of its proper divisors (58977294440).

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

45717214360 is a wasteful number, since it uses less digits than its factorization.

45717214360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16240 (or 16236 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 45717214360 in words is "forty-five billion, seven hundred seventeen million, two hundred fourteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 1303 2360 2606 5212 6515 10424 13030 14867 26060 29734 52120 59468 74335 76877 118936 148670 153754 297340 307508 384385 594680 615016 768770 877153 1537540 1754306 3075080 3508612 4385765 7017224 8771530 17543060 19371701 35086120 38743402 77486804 96858505 154973608 193717010 387434020 774868040 1142930359 2285860718 4571721436 5714651795 9143442872 11429303590 22858607180 45717214360