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99652216032 = 253537346361
BaseRepresentation
bin101110011001110111…
…1000010010011100000
3100112012221020002100000
41130303233002103200
53113041431403112
6113440220500000
710125321601035
oct1346357022340
9315187202300
1099652216032
1139298094936
12173913aa600
139521751105
144b74bad38c
1528d393c7dc
hex1733bc24e0

99652216032 has 144 divisors (see below), whose sum is σ = 301825388592. Its totient is φ = 32319544320.

The previous prime is 99652216007. The next prime is 99652216033. The reversal of 99652216032 is 23061225699.

99652216032 is a `hidden beast` number, since 9 + 96 + 522 + 1 + 6 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99652216033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114532 + ... + 460892.

It is an arithmetic number, because the mean of its divisors is an integer number (2096009643).

Almost surely, 299652216032 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 99652216032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150912694296).

99652216032 is an abundant number, since it is smaller than the sum of its proper divisors (202173172560).

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

99652216032 is a wasteful number, since it uses less digits than its factorization.

99652216032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346423 (or 346403 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 99652216032 in words is "ninety-nine billion, six hundred fifty-two million, two hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 243 288 296 324 333 432 444 486 592 648 666 864 888 972 999 1184 1296 1332 1776 1944 1998 2592 2664 2997 3552 3888 3996 5328 5994 7776 7992 8991 10656 11988 15984 17982 23976 31968 35964 47952 71928 95904 143856 287712 346361 692722 1039083 1385444 2078166 2770888 3117249 4156332 5541776 6234498 8312664 9351747 11083552 12468996 12815357 16625328 18703494 24937992 25630714 28055241 33250656 37406988 38446071 49875984 51261428 56110482 74813976 76892142 84165723 99751968 102522856 112220964 115338213 149627952 153784284 168331446 205045712 224441928 230676426 299255904 307568568 336662892 346014639 410091424 448883856 461352852 615137136 673325784 692029278 897767712 922705704 1038043917 1230274272 1346651568 1384058556 1845411408 2076087834 2693303136 2768117112 3114131751 3690822816 4152175668 5536234224 6228263502 8304351336 11072468448 12456527004 16608702672 24913054008 33217405344 49826108016 99652216032