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100009880936 = 237192926912049
BaseRepresentation
bin101110100100100001…
…1011010110101101000
3100120010212020100100022
41131021003122311220
53114310012142221
6113535514500012
710140223650620
oct1351103326550
9316125210308
10100009880936
1139460a74869
1217471134608
13957a88c054
144baa4b3880
15290503c4ab
hex17490dad68

100009880936 has 128 divisors (see below), whose sum is σ = 234252000000. Its totient is φ = 39056338944.

The previous prime is 100009880933. The next prime is 100009880953. The reversal of 100009880936 is 639088900001.

It is not an unprimeable number, because it can be changed into a prime (100009880933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8294240 + ... + 8306288.

It is an arithmetic number, because the mean of its divisors is an integer number (1830093750).

Almost surely, 2100009880936 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 100009880936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117126000000).

100009880936 is an abundant number, since it is smaller than the sum of its proper divisors (134242119064).

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

100009880936 is a wasteful number, since it uses less digits than its factorization.

100009880936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12379 (or 12375 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 100009880936 in words is "one hundred billion, nine million, eight hundred eighty thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 76 116 133 152 203 232 266 269 406 532 538 551 812 1064 1076 1102 1624 1883 2152 2204 3766 3857 4408 5111 7532 7714 7801 10222 12049 15064 15428 15602 20444 24098 30856 31204 35777 40888 48196 54607 62408 71554 84343 96392 109214 143108 148219 168686 218428 228931 286216 296438 337372 349421 436856 457862 592876 674744 698842 915724 1037533 1185752 1397684 1602517 1831448 2075066 2445947 2795368 3205034 3241181 4150132 4891894 6410068 6482362 6638999 8300264 9783788 12820136 12964724 13277998 19567576 22688267 25929448 26555996 45376534 46472993 53111992 61582439 90753068 92945986 93994249 123164878 181506136 185891972 187988498 246329756 371783944 375976996 431077073 492659512 657959743 751953992 862154146 1315919486 1724308292 1785890731 2631838972 3448616584 3571781462 5263677944 7143562924 12501235117 14287125848 25002470234 50004940468 100009880936