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46532101446 = 232171671795087
BaseRepresentation
bin101011010101100001…
…111000010101000110
311110002220100200010200
4223111201320111012
51230244204221241
633213200231330
73235052223225
oct532541702506
9143086320120
1046532101446
1118809181596
12902760b546
134507462a4c
142375d2acbc
1513251c94b6
hexad5878546

46532101446 has 96 divisors (see below), whose sum is σ = 108010506240. Its totient is φ = 14426988288.

The previous prime is 46532101433. The next prime is 46532101501. The reversal of 46532101446 is 64410123564.

It is a self number, because there is not a number n which added to its sum of digits gives 46532101446.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9144715 + ... + 9149801.

It is an arithmetic number, because the mean of its divisors is an integer number (1125109440).

Almost surely, 246532101446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46532101446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54005253120).

46532101446 is an abundant number, since it is smaller than the sum of its proper divisors (61478404794).

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

46532101446 is a wasteful number, since it uses less digits than its factorization.

46532101446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 46532101446 in words is "forty-six billion, five hundred thirty-two million, one hundred one thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 167 179 306 334 358 501 537 1002 1074 1503 1611 2839 3006 3043 3222 5087 5678 6086 8517 9129 10174 15261 17034 18258 25551 27387 29893 30522 45783 51102 54774 59786 86479 89679 91566 172958 179358 259437 269037 508181 518874 538074 778311 849529 910573 1016362 1524543 1556622 1699058 1821146 2548587 2731719 3049086 4573629 5097174 5463438 7645761 8195157 9147258 14441993 15291522 15479741 16390314 28883986 30959482 43325979 46439223 86651958 92878446 129977937 139317669 152065691 259955874 278635338 304131382 456197073 912394146 1368591219 2585116747 2737182438 5170233494 7755350241 15510700482 23266050723 46532101446