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102326937990732 = 223271396732301271
BaseRepresentation
bin10111010001000011011000…
…110010100011011001001100
3111102022100201020200010022100
4113101003120302203121030
5101403011032111200412
61001344202451315100
730360606625543050
oct2721033062433114
9442270636603270
10102326937990732
112a671679924414
12b5877905aba90
1345135093b80b0
141b3a916303c60
15bc6b59d42edc
hex5d10d8ca364c

102326937990732 has 144 divisors (see below), whose sum is σ = 318679698168832. Its totient is φ = 26959415172480.

The previous prime is 102326937990709. The next prime is 102326937990773. The reversal of 102326937990732 is 237099739623201.

102326937990732 is a `hidden beast` number, since 1 + 0 + 2 + 326 + 93 + 79 + 90 + 73 + 2 = 666.

It is a super-2 number, since 2×1023269379907322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 102326937990732.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12982744 + ... + 19318527.

Almost surely, 2102326937990732 is an apocalyptic number.

102326937990732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102326937990732 is an abundant number, since it is smaller than the sum of its proper divisors (216352760178100).

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

102326937990732 is a wasteful number, since it uses less digits than its factorization.

102326937990732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32302268 (or 32302263 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 63.

The spelling of 102326937990732 in words is "one hundred two trillion, three hundred twenty-six billion, nine hundred thirty-seven million, nine hundred ninety thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 967 1092 1638 1934 2901 3276 3868 5802 6769 8703 11604 12571 13538 17406 20307 25142 27076 34812 37713 40614 50284 60921 75426 81228 87997 113139 121842 150852 175994 226278 243684 263991 351988 452556 527982 791973 1055964 1583946 3167892 32301271 64602542 96903813 129205084 193807626 226108897 290711439 387615252 419916523 452217794 581422878 678326691 839833046 904435588 1162845756 1259749569 1356653382 1679666092 2034980073 2519499138 2713306764 2939415661 3779248707 4069960146 5038998276 5878831322 7558497414 8139920292 8818246983 11757662644 15116994828 17636493966 26454740949 31235329057 35272987932 52909481898 62470658114 93705987171 105818963796 124941316228 187411974342 218647303399 281117961513 374823948684 406059277741 437294606798 562235923026 655941910197 812118555482 874589213596 1124471846052 1218177833223 1311883820394 1624237110964 1967825730591 2436355666446 2623767640788 2842414944187 3654533499669 3935651461182 4872711332892 5684829888374 7309066999338 7871302922364 8527244832561 11369659776748 14618133998676 17054489665122 25581734497683 34108979330244 51163468995366 102326937990732