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100707494272 = 2771156318149
BaseRepresentation
bin101110111001010100…
…0100110100110000000
3100121221110220202221021
41131302220212212000
53122222104304042
6114133035035224
710163424402010
oct1356250464600
9317843822837
10100707494272
1139789834010
121762689bb14
13965c273cc8
144c34dc9c40
1529463dc867
hex1772a26980

100707494272 has 128 divisors (see below), whose sum is σ = 250591968000. Its totient is φ = 39164835840.

The previous prime is 100707494249. The next prime is 100707494281. The reversal of 100707494272 is 272494707001.

It is a tau number, because it is divible by the number of its divisors (128).

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, 5539854 + ... + 5558002.

It is an arithmetic number, because the mean of its divisors is an integer number (1957749750).

Almost surely, 2100707494272 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 100707494272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125295984000).

100707494272 is an abundant number, since it is smaller than the sum of its proper divisors (149884473728).

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

100707494272 is a wasteful number, since it uses less digits than its factorization.

100707494272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18744 (or 18732 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 43.

The spelling of 100707494272 in words is "one hundred billion, seven hundred seven million, four hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 563 616 704 896 1126 1232 1408 2252 2464 3941 4504 4928 6193 7882 9008 9856 12386 15764 18016 18149 24772 31528 36032 36298 43351 49544 63056 72064 72596 86702 99088 126112 127043 145192 173404 198176 199639 252224 254086 290384 346808 396352 399278 504448 508172 580768 693616 792704 798556 1016344 1161536 1387232 1397473 1597112 2032688 2323072 2774464 2794946 3194224 4065376 5548928 5589892 6388448 8130752 10217887 11179784 12776896 16261504 20435774 22359568 25553792 40871548 44719136 71525209 81743096 89438272 112396757 143050418 163486192 178876544 224793514 286100836 326972384 449587028 572201672 653944768 786777299 899174056 1144403344 1307889536 1573554598 1798348112 2288806688 3147109196 3596696224 4577613376 6294218392 7193392448 9155226752 12588436784 14386784896 25176873568 50353747136 100707494272