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45367280856 = 233219231441879
BaseRepresentation
bin101010010000000110…
…011100010011011000
311100002201112122200100
4222100012130103120
51220403010441411
632501430135400
73164146344642
oct522006342330
9140081478610
1045367280856
1118270713647
1289614b1560
134380037bb1
1422a5357892
1512a7cdc456
hexa9019c4d8

45367280856 has 96 divisors (see below), whose sum is σ = 134959968000. Its totient is φ = 13703608512.

The previous prime is 45367280839. The next prime is 45367280857. The reversal of 45367280856 is 65808276354.

45367280856 is a `hidden beast` number, since 4 + 536 + 7 + 28 + 0 + 85 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45367280857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689476 + ... + 752403.

It is an arithmetic number, because the mean of its divisors is an integer number (1405833000).

Almost surely, 245367280856 is an apocalyptic number.

45367280856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

45367280856 is an abundant number, since it is smaller than the sum of its proper divisors (89592687144).

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

45367280856 is a wasteful number, since it uses less digits than its factorization.

45367280856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441933 (or 1441926 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 45367280856 in words is "forty-five billion, three hundred sixty-seven million, two hundred eighty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 171 184 207 228 276 342 414 437 456 552 684 828 874 1311 1368 1656 1748 2622 3496 3933 5244 7866 10488 15732 31464 1441879 2883758 4325637 5767516 8651274 11535032 12976911 17302548 25953822 27395701 33163217 34605096 51907644 54791402 66326434 82187103 99489651 103815288 109582804 132652868 164374206 198979302 219165608 246561309 265305736 298468953 328748412 397958604 493122618 596937906 630101123 657496824 795917208 986245236 1193875812 1260202246 1890303369 1972490472 2387751624 2520404492 3780606738 5040808984 5670910107 7561213476 11341820214 15122426952 22683640428 45367280856