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46053271104 = 263478361487
BaseRepresentation
bin101010111000111111…
…010010011001000000
311101212112100120101120
4222320333102121000
51223304114133404
633053453232240
73220146226341
oct527077223100
9141775316346
1046053271104
1118592964235
128b13192680
13445c1b0599
14232c4c60c8
1512e81439d9
hexab8fd2640

46053271104 has 112 divisors (see below), whose sum is σ = 125943164928. Its totient is φ = 14843212288.

The previous prime is 46053271063. The next prime is 46053271169. The reversal of 46053271104 is 40117235064.

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, 718249 + ... + 779735.

It is an arithmetic number, because the mean of its divisors is an integer number (1124492544).

Almost surely, 246053271104 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 46053271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62971582464).

46053271104 is an abundant number, since it is smaller than the sum of its proper divisors (79889893824).

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

46053271104 is a wasteful number, since it uses less digits than its factorization.

46053271104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61632 (or 61622 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 46053271104 in words is "forty-six billion, fifty-three million, two hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 83 94 96 141 166 188 192 249 282 332 376 498 564 664 752 996 1128 1328 1504 1992 2256 2656 3008 3901 3984 4512 5312 7802 7968 9024 11703 15604 15936 23406 31208 46812 61487 62416 93624 122974 124832 184461 187248 245948 249664 368922 374496 491896 737844 748992 983792 1475688 1967584 2889889 2951376 3935168 5103421 5779778 5902752 8669667 10206842 11559556 11805504 15310263 17339334 20413684 23119112 30620526 34678668 40827368 46238224 61241052 69357336 81654736 92476448 122482104 138714672 163309472 184952896 239860787 244964208 277429344 326618944 479721574 489928416 554858688 719582361 959443148 979856832 1439164722 1918886296 2878329444 3837772592 5756658888 7675545184 11513317776 15351090368 23026635552 46053271104