Search a number
-
+
100386672960 = 2635714938493
BaseRepresentation
bin101110101111110000…
…0110001000101000000
3100121010010020100211110
41131133200301011000
53121042442013320
6114041134443320
710152450432630
oct1353740610500
9317103210743
10100386672960
1139634729232
1217557363540
13960a966002
144c045566c0
1529281695e0
hex175f831140

100386672960 has 112 divisors (see below), whose sum is σ = 364260237696. Its totient is φ = 22945523712.

The previous prime is 100386672949. The next prime is 100386673001. The reversal of 100386672960 is 69276683001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7462527 + ... + 7475966.

Almost surely, 2100386672960 is an apocalyptic number.

100386672960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100386672960 is an abundant number, since it is smaller than the sum of its proper divisors (263873564736).

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

100386672960 is a wasteful number, since it uses less digits than its factorization.

100386672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14938520 (or 14938510 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 100386672960 in words is "one hundred billion, three hundred eighty-six million, six hundred seventy-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 14938493 29876986 44815479 59753972 74692465 89630958 104569451 119507944 149384930 179261916 209138902 224077395 239015888 298769860 313708353 358523832 418277804 448154790 478031776 522847255 597539720 627416706 717047664 836555608 896309580 956063552 1045694510 1195079440 1254833412 1434095328 1568541765 1673111216 1792619160 2091389020 2390158880 2509666824 2868190656 3137083530 3346222432 3585238320 4182778040 4780317760 5019333648 6274167060 6692444864 7170476640 8365556080 10038667296 12548334120 14340953280 16731112160 20077334592 25096668240 33462224320 50193336480 100386672960