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99965348011608 = 2331032331543112481
BaseRepresentation
bin10110101110101011111111…
…000011101101111001011000
3111002221121000222111010112020
4112232223333003231321120
5101100313013042332413
6552335240310214440
730025154341122102
oct2656537703557130
9432847028433466
1099965348011608
112994107a952442
12b265b54954420
1343a18cc0603c1
141a984c4a16572
15b854dc583c23
hex5aeaff0ede58

99965348011608 has 128 divisors (see below), whose sum is σ = 253589211233280. Its totient is φ = 32835060817920.

The previous prime is 99965348011601. The next prime is 99965348011631. The reversal of 99965348011608 is 80611084356999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99965348011601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 888674728 + ... + 888787208.

It is an arithmetic number, because the mean of its divisors is an integer number (1981165712760).

Almost surely, 299965348011608 is an apocalyptic number.

It is an amenable number.

99965348011608 is an abundant number, since it is smaller than the sum of its proper divisors (153623863221672).

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

99965348011608 is a wasteful number, since it uses less digits than its factorization.

99965348011608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114369 (or 114365 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 69.

The spelling of 99965348011608 in words is "ninety-nine trillion, nine hundred sixty-five billion, three hundred forty-eight million, eleven thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 24 103 206 233 309 412 466 618 699 824 932 1236 1398 1543 1864 2472 2796 3086 4629 5592 6172 9258 12344 18516 23999 37032 47998 71997 95996 112481 143994 158929 191992 224962 287988 317858 337443 359519 449924 476787 575976 635716 674886 719038 899848 953574 1078557 1271432 1349772 1438076 1907148 2157114 2699544 2876152 3814296 4314228 8628456 11585543 23171086 26208073 34756629 37030457 46342172 52416146 69513258 74060914 78624219 92684344 104832292 111091371 139026516 148121828 157248438 173558183 209664584 222182742 278053032 296243656 314496876 347116366 444365484 520674549 628993752 694232732 888730968 1041349098 1388465464 2082698196 2699431519 4165396392 5398863038 8098294557 10797726076 16196589114 17876492849 21595452152 32393178228 35752985698 40439056639 53629478547 64786356456 71505971396 80878113278 107258957094 121317169917 143011942792 161756226556 214517914188 242634339834 323512453112 429035828376 485268679668 970537359336 4165222833817 8330445667634 12495668501451 16660891335268 24991337002902 33321782670536 49982674005804 99965348011608