Search a number
-
+
107914692990 = 235132926633583
BaseRepresentation
bin110010010000000110…
…1111000100101111110
3101022112202112101221010
41210200031320211332
53232002130133430
6121324134220050
710540140520116
oct1444015704576
9338482471833
10107914692990
1141848038095
1218ab84b4626
13a23a484a30
14531a280046
152c18ed3cb0
hex192037897e

107914692990 has 128 divisors (see below), whose sum is σ = 288724746240. Its totient is φ = 25630843392.

The previous prime is 107914692967. The next prime is 107914692997. The reversal of 107914692990 is 99296419701.

It is a self number, because there is not a number n which added to its sum of digits gives 107914692990.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107914692997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30116739 + ... + 30120321.

It is an arithmetic number, because the mean of its divisors is an integer number (2255662080).

Almost surely, 2107914692990 is an apocalyptic number.

107914692990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107914692990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144362373120).

107914692990 is an abundant number, since it is smaller than the sum of its proper divisors (180810053250).

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

107914692990 is a wasteful number, since it uses less digits than its factorization.

107914692990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6298.

The product of its (nonzero) digits is 2204496, while the sum is 57.

The spelling of 107914692990 in words is "one hundred seven billion, nine hundred fourteen million, six hundred ninety-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 754 870 1131 1885 2262 2663 3583 3770 5326 5655 7166 7989 10749 11310 13315 15978 17915 21498 26630 34619 35830 39945 46579 53745 69238 77227 79890 93158 103857 103907 107490 139737 154454 173095 207714 207814 231681 232895 279474 311721 346190 386135 463362 465790 519285 519535 623442 698685 772270 1003951 1038570 1039070 1158405 1350791 1397370 1558605 2007902 2316810 2701582 3011853 3117210 4052373 5019755 6023706 6753955 8104746 9541529 10039510 13507910 15059265 19083058 20261865 28624587 30118530 40523730 47707645 57249174 95415290 124039877 143122935 248079754 276704341 286245870 372119631 553408682 620199385 744239262 830113023 1240398770 1383521705 1660226046 1860598155 2767043410 3597156433 3721196310 4150565115 7194312866 8301130230 10791469299 17985782165 21582938598 35971564330 53957346495 107914692990