Search a number
-
+
1145754879372 = 2232196192706107
BaseRepresentation
bin10000101011000100010…
…100000000010110001100
311001112101121221110121200
4100223010110000112030
5122233001222114442
62234204051225500
7145530605533215
oct20530424002614
94045347843550
101145754879372
11401a0383a094
1216607aba8290
1384076201aac
143d6520b840c
151ec0c80234c
hex10ac450058c

1145754879372 has 72 divisors (see below), whose sum is σ = 3053572267200. Its totient is φ = 361232677728.

The previous prime is 1145754879371. The next prime is 1145754879383. The reversal of 1145754879372 is 2739784575411.

1145754879372 is a `hidden beast` number, since 1 + 1 + 4 + 57 + 548 + 7 + 9 + 37 + 2 = 666.

It is a super-2 number, since 2×11457548793722 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145754879371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929658 + ... + 1776449.

Almost surely, 21145754879372 is an apocalyptic number.

1145754879372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1145754879372 is an abundant number, since it is smaller than the sum of its proper divisors (1907817387828).

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

1145754879372 is a wasteful number, since it uses less digits than its factorization.

1145754879372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706755 (or 2706750 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 1145754879372 in words is "one trillion, one hundred forty-five billion, seven hundred fifty-four million, eight hundred seventy-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 619 684 1238 1857 2476 3714 5571 7428 11142 11761 22284 23522 35283 47044 70566 105849 141132 211698 423396 2706107 5412214 8118321 10824428 16236642 24354963 32473284 48709926 51416033 97419852 102832066 154248099 205664132 308496198 462744297 616992396 925488594 1675080233 1850977188 3350160466 5025240699 6700320932 10050481398 15075722097 20100962796 30151444194 31826524427 60302888388 63653048854 95479573281 127306097708 190959146562 286438719843 381918293124 572877439686 1145754879372