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44372061468 = 2235716340009
BaseRepresentation
bin101001010100110001…
…111110110100011100
311020112100212021100000
4221110301332310130
51211333221431333
632214555134300
73130403204460
oct512461766434
9136470767300
1044372061468
11178aa965589
128724144390
134251ab2997
14220d0d24a0
15124a752713
hexa54c7ed1c

44372061468 has 144 divisors (see below), whose sum is σ = 133752469760. Its totient is φ = 12599639424.

The previous prime is 44372061467. The next prime is 44372061469. The reversal of 44372061468 is 86416027344.

44372061468 is a `hidden beast` number, since 4 + 4 + 3 + 7 + 20 + 614 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (44372061467) and next prime (44372061469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44372061467) 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 47 ways as a sum of consecutive naturals, for example, 1089048 + ... + 1129056.

Almost surely, 244372061468 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 44372061468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66876234880).

44372061468 is an abundant number, since it is smaller than the sum of its proper divisors (89380408292).

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

44372061468 is a wasteful number, since it uses less digits than its factorization.

44372061468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40198 (or 40184 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 44372061468 in words is "forty-four billion, three hundred seventy-two million, sixty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 163 189 243 252 324 326 378 486 489 567 652 756 972 978 1134 1141 1467 1701 1956 2268 2282 2934 3402 3423 4401 4564 5868 6804 6846 8802 10269 13203 13692 17604 20538 26406 30807 39609 40009 41076 52812 61614 79218 80018 92421 120027 123228 158436 160036 184842 240054 277263 280063 360081 369684 480108 554526 560126 720162 840189 1080243 1109052 1120252 1440324 1680378 2160486 2520567 3240729 3360756 4320972 5041134 6481458 6521467 7561701 9722187 10082268 12962916 13042934 15123402 19444374 19564401 22685103 26085868 30246804 38888748 39128802 45370206 45650269 58693203 68055309 78257604 90740412 91300538 117386406 136110618 136950807 176079609 182601076 234772812 272221236 273901614 352159218 410852421 528238827 547803228 704318436 821704842 1056477654 1232557263 1584716481 1643409684 2112955308 2465114526 3169432962 3697671789 4930229052 6338865924 7395343578 11093015367 14790687156 22186030734 44372061468