Search a number
-
+
10807678080 = 273251876333
BaseRepresentation
bin10100001000011000…
…00001010010000000
31000220012112221011100
422010030001102000
5134113231144310
64544234014400
7531552514353
oct120414012200
930805487140
1010807678080
11464671a561
122117577400
13103312b0b4
1474752a29a
15433c4eec0
hex284301480

10807678080 has 96 divisors (see below), whose sum is σ = 37320283260. Its totient is φ = 2882045952.

The previous prime is 10807678051. The next prime is 10807678103. The reversal of 10807678080 is 8087670801.

It can be written as a sum of positive squares in 2 ways, for example, as 10784407104 + 23270976 = 103848^2 + 4824^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 932407 + ... + 943926.

Almost surely, 210807678080 is an apocalyptic number.

10807678080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10807678080 is an abundant number, since it is smaller than the sum of its proper divisors (26512605180).

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

10807678080 is a wasteful number, since it uses less digits than its factorization.

10807678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876358 (or 1876343 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 10807678080 in words is "ten billion, eight hundred seven million, six hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 1876333 3752666 5628999 7505332 9381665 11257998 15010664 16886997 18763330 22515996 28144995 30021328 33773994 37526660 45031992 56289990 60042656 67547988 75053320 84434985 90063984 112579980 120085312 135095976 150106640 168869970 180127968 225159960 240170624 270191952 300213280 337739940 360255936 450319920 540383904 600426560 675479880 720511872 900639840 1080767808 1200853120 1350959760 1801279680 2161535616 2701919520 3602559360 5403839040 10807678080