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46664452352 = 287194193271
BaseRepresentation
bin101011011101011010…
…110000100100000000
311110110010101210110002
4223131122300210000
51231032044433402
633234245055132
73241250205020
oct533532604400
9143403353402
1046664452352
1118876959801
1290639b74a8
1345289c25ab
14238973da80
151331b1e602
hexadd6b0900

46664452352 has 144 divisors (see below), whose sum is σ = 112357862400. Its totient is φ = 18895472640.

The previous prime is 46664452319. The next prime is 46664452369. The reversal of 46664452352 is 25325446664.

It is a super-2 number, since 2×466644523522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46664452297 and 46664452306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14264477 + ... + 14267747.

Almost surely, 246664452352 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 46664452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56178931200).

46664452352 is an abundant number, since it is smaller than the sum of its proper divisors (65693410048).

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

46664452352 is a wasteful number, since it uses less digits than its factorization.

46664452352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3718 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 47.

The spelling of 46664452352 in words is "forty-six billion, six hundred sixty-four million, four hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 419 448 532 608 838 896 1064 1216 1676 1792 2128 2432 2933 3271 3352 4256 4864 5866 6542 6704 7961 8512 11732 13084 13408 15922 17024 22897 23464 26168 26816 31844 34048 45794 46928 52336 53632 55727 62149 63688 91588 93856 104672 107264 111454 124298 127376 183176 187712 209344 222908 248596 254752 366352 375424 418688 435043 445816 497192 509504 732704 750848 837376 870086 891632 994384 1019008 1370549 1465408 1740172 1783264 1988768 2038016 2741098 2930816 3480344 3566528 3977536 5482196 5861632 6960688 7133056 7955072 9593843 10964392 13921376 14266112 15910144 19187686 21928784 26040431 27842752 38375372 43857568 52080862 55685504 76750744 87715136 104161724 111371008 153501488 175430272 182283017 208323448 307002976 350860544 364566034 416646896 614005952 729132068 833293792 1228011904 1458264136 1666587584 2456023808 2916528272 3333175168 5833056544 6666350336 11666113088 23332226176 46664452352