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46381855072 = 257172716477
BaseRepresentation
bin101011001100100100…
…101111000101100000
311102201102122100212011
4223030210233011200
51224442223330242
633150232042304
73231246156160
oct531444570540
9142642570764
1046381855072
1118741391233
128ba5233394
1344b22a8977
14235ddba5a0
151316debd17
hexacc92f160

46381855072 has 72 divisors (see below), whose sum is σ = 110859207984. Its totient is φ = 18708621312.

The previous prime is 46381855061. The next prime is 46381855109. The reversal of 46381855072 is 27055818364.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293503 + ... + 422974.

It is an arithmetic number, because the mean of its divisors is an integer number (1539711222).

Almost surely, 246381855072 is an apocalyptic number.

It is an amenable number.

46381855072 is an abundant number, since it is smaller than the sum of its proper divisors (64477352912).

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

46381855072 is a wasteful number, since it uses less digits than its factorization.

46381855072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716528 (or 716503 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 46381855072 in words is "forty-six billion, three hundred eighty-one million, eight hundred fifty-five thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 289 476 544 578 952 1156 1904 2023 2312 3808 4046 4624 8092 9248 16184 32368 64736 716477 1432954 2865908 5015339 5731816 10030678 11463632 12180109 20061356 22927264 24360218 40122712 48720436 80245424 85260763 97440872 160490848 170521526 194881744 207061853 341043052 389763488 414123706 682086104 828247412 1364172208 1449432971 1656494824 2728344416 2898865942 3312989648 5797731884 6625979296 11595463768 23190927536 46381855072