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10077811080 = 2335317093821
BaseRepresentation
bin10010110001010111…
…10011000110001000
3222000100011211212020
421120223303012020
5131114404423310
64344002244440
7504510660261
oct113053630610
928010154766
1010077811080
114301730697
121b53056720
13c47b6242c
146b8619968
153deb2d170
hex258af3188

10077811080 has 128 divisors (see below), whose sum is σ = 31260902400. Its totient is φ = 2596377600.

The previous prime is 10077811043. The next prime is 10077811103. The reversal of 10077811080 is 8011877001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2635570 + ... + 2639390.

It is an arithmetic number, because the mean of its divisors is an integer number (244225800).

Almost surely, 210077811080 is an apocalyptic number.

10077811080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10077811080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15630451200).

10077811080 is an abundant number, since it is smaller than the sum of its proper divisors (21183091320).

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

10077811080 is a wasteful number, since it uses less digits than its factorization.

10077811080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 33.

The spelling of 10077811080 in words is "ten billion, seventy-seven million, eight hundred eleven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 709 744 930 1240 1418 1860 2127 2836 3545 3720 3821 4254 5672 7090 7642 8508 10635 11463 14180 15284 17016 19105 21270 21979 22926 28360 30568 38210 42540 43958 45852 57315 65937 76420 85080 87916 91704 109895 114630 118451 131874 152840 175832 219790 229260 236902 263748 329685 355353 439580 458520 473804 527496 592255 659370 710706 879160 947608 1184510 1318740 1421412 1776765 2369020 2637480 2709089 2842824 3553530 4738040 5418178 7107060 8127267 10836356 13545445 14214120 16254534 21672712 27090890 32509068 40636335 54181780 65018136 81272670 83981759 108363560 162545340 167963518 251945277 325090680 335927036 419908795 503890554 671854072 839817590 1007781108 1259726385 1679635180 2015562216 2519452770 3359270360 5038905540 10077811080