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46085144391 = 321113313731219
BaseRepresentation
bin101010111010111000…
…110111111101000111
311101221202022220022200
4222322320313331013
51223340244110031
633100552325543
73221014156356
oct527270677507
9141852286280
1046085144391
11185a99540a0
128b219a38b3
134465990110
14233282199d
1512ead3c8e6
hexabae37f47

46085144391 has 96 divisors (see below), whose sum is σ = 82912327680. Its totient is φ = 24275116800.

The previous prime is 46085144383. The next prime is 46085144393. The reversal of 46085144391 is 19344158064.

46085144391 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 514 + 43 + 91 = 666.

It is not a de Polignac number, because 46085144391 - 23 = 46085144383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46085144393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1460580 + ... + 1491798.

It is an arithmetic number, because the mean of its divisors is an integer number (863670080).

Almost surely, 246085144391 is an apocalyptic number.

46085144391 is a deficient number, since it is larger than the sum of its proper divisors (36827183289).

46085144391 is a wasteful number, since it uses less digits than its factorization.

46085144391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31317 (or 31314 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 46085144391 in words is "forty-six billion, eighty-five million, one hundred forty-four thousand, three hundred ninety-one".

Divisors: 1 3 9 11 13 31 33 37 39 93 99 111 117 143 279 333 341 403 407 429 481 1023 1147 1209 1221 1287 1443 3069 3441 3627 3663 4329 4433 5291 10323 12617 13299 14911 15873 31219 37851 39897 44733 47619 93657 113553 134199 164021 280971 343409 405847 492063 967789 1030227 1155103 1217541 1476189 2903367 3090681 3465309 3652623 4464317 8710101 10395927 10645679 12581257 12706133 13392951 15016339 31937037 35808193 37743771 38118399 40178853 45049017 95811111 107424579 113231313 114355197 135147051 138393827 165179729 322273737 393890123 415181481 465506509 495539187 1181670369 1245544443 1396519527 1486617561 3545011107 4189558581 5120571599 15361714797 46085144391