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7149505860 = 22325752110891
BaseRepresentation
bin1101010100010010…
…01100110101000100
3200110021001112021100
412222021030311010
5104120233141420
63141234420100
7342112540260
oct65211146504
920407045240
107149505860
113039789632
121476431630
1389c290c53
144bb7570a0
152bc9ec190
hex1aa24cd44

7149505860 has 144 divisors (see below), whose sum is σ = 24834805632. Its totient is φ = 1630886400.

The previous prime is 7149505859. The next prime is 7149505921. The reversal of 7149505860 is 685059417.

7149505860 is a `hidden beast` number, since 7 + 14 + 9 + 50 + 586 + 0 = 666.

It is a super-2 number, since 2×71495058602 (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 651015 + ... + 661905.

It is an arithmetic number, because the mean of its divisors is an integer number (172463928).

Almost surely, 27149505860 is an apocalyptic number.

7149505860 is a gapful number since it is divisible by the number (70) 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 7149505860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417402816).

7149505860 is an abundant number, since it is smaller than the sum of its proper divisors (17685299772).

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

7149505860 is a wasteful number, since it uses less digits than its factorization.

7149505860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11434 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 7149505860 is about 84554.7506648799. The cubic root of 7149505860 is about 1926.4541425096.

The spelling of 7149505860 in words is "seven billion, one hundred forty-nine million, five hundred five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 521 630 1042 1260 1563 2084 2605 3126 3647 4689 5210 6252 7294 7815 9378 10420 10891 10941 14588 15630 18235 18756 21782 21882 23445 31260 32673 32823 36470 43564 43764 46890 54455 54705 65346 65646 72940 76237 93780 98019 108910 109410 130692 131292 152474 163365 164115 196038 217820 218820 228711 304948 326730 328230 381185 392076 457422 490095 653460 656460 686133 762370 914844 980190 1143555 1372266 1524740 1960380 2287110 2744532 3430665 4574220 5674211 6861330 11348422 13722660 17022633 22696844 28371055 34045266 39719477 51067899 56742110 68090532 79438954 85113165 102135798 113484220 119158431 158877908 170226330 198597385 204271596 238316862 255339495 340452660 357475293 397194770 476633724 510678990 595792155 714950586 794389540 1021357980 1191584310 1429901172 1787376465 2383168620 3574752930 7149505860