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46121740470 = 23351319766701
BaseRepresentation
bin101010111101000100…
…011110100010110110
311102001022012011201000
4222331010132202312
51223424131143340
633104340544130
73221640216441
oct527504364266
9142038164630
1046121740470
111861857a293
128b320b2046
1344704344c0
14233762a658
1512ee16ad30
hexabd11e8b6

46121740470 has 128 divisors (see below), whose sum is σ = 133126519680. Its totient is φ = 11295244800.

The previous prime is 46121740453. The next prime is 46121740477. The reversal of 46121740470 is 7404712164.

It is a happy number.

46121740470 is a `hidden beast` number, since 4 + 6 + 12 + 174 + 0 + 470 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46121740477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658120 + ... + 724820.

It is an arithmetic number, because the mean of its divisors is an integer number (1040050935).

Almost surely, 246121740470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46121740470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66563259840).

46121740470 is an abundant number, since it is smaller than the sum of its proper divisors (87004779210).

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

46121740470 is a wasteful number, since it uses less digits than its factorization.

46121740470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66927 (or 66921 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 46121740470 in words is "forty-six billion, one hundred twenty-one million, seven hundred forty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 197 234 270 351 390 394 585 591 702 985 1170 1182 1755 1773 1970 2561 2955 3510 3546 5122 5319 5910 7683 8865 10638 12805 15366 17730 23049 25610 26595 38415 46098 53190 66701 69147 76830 115245 133402 138294 200103 230490 333505 345735 400206 600309 667010 691470 867113 1000515 1200618 1734226 1800927 2001030 2601339 3001545 3601854 4335565 5202678 6003090 7804017 8671130 9004635 13006695 13140097 15608034 18009270 23412051 26013390 26280194 39020085 39420291 46824102 65700485 78040170 78840582 117060255 118260873 131400970 170821261 197101455 234120510 236521746 341642522 354782619 394202910 512463783 591304365 709565238 854106305 1024927566 1182608730 1537391349 1708212610 1773913095 2562318915 3074782698 3547826190 4612174047 5124637830 7686956745 9224348094 15373913490 23060870235 46121740470