Search a number
-
+
1113625770408 = 233346724774457
BaseRepresentation
bin10000001101001001010…
…001001011100110101000
310221110110111100121211000
4100031021101023212220
5121221201144123113
62211332001035000
7143312453602464
oct20151121134650
93843414317730
101113625770408
1139a316795a78
1215b9b3025a60
13810259c9608
143bc84da74a4
151de7bd11373
hex1034944b9a8

1113625770408 has 128 divisors (see below), whose sum is σ = 3101976259200. Its totient is φ = 370181094912.

The previous prime is 1113625770373. The next prime is 1113625770449. The reversal of 1113625770408 is 8040775263111.

1113625770408 is a `hidden beast` number, since 1 + 1 + 1 + 36 + 2 + 577 + 0 + 40 + 8 = 666.

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, 249857716 + ... + 249862172.

It is an arithmetic number, because the mean of its divisors is an integer number (24234189525).

Almost surely, 21113625770408 is an apocalyptic number.

1113625770408 is a gapful number since it is divisible by the number (18) 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 1113625770408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550988129600).

1113625770408 is an abundant number, since it is smaller than the sum of its proper divisors (1988350488792).

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

1113625770408 is a wasteful number, since it uses less digits than its factorization.

1113625770408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7416 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1113625770408 in words is "one trillion, one hundred thirteen billion, six hundred twenty-five million, seven hundred seventy thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 467 934 1401 1868 2477 2802 3736 4203 4457 4954 5604 7431 8406 8914 9908 11208 12609 13371 14862 16812 17828 19816 22293 25218 26742 29724 33624 35656 40113 44586 50436 53484 59448 66879 80226 89172 100872 106968 120339 133758 160452 178344 240678 267516 320904 481356 535032 962712 1156759 2081419 2313518 3470277 4162838 4627036 6244257 6940554 8325676 9254072 10410831 11039989 12488514 13881108 16651352 18732771 20821662 22079978 24977028 27762216 31232493 33119967 37465542 41643324 44159956 49954056 56198313 62464986 66239934 74931084 83286648 88319912 99359901 112396626 124929972 132479868 149862168 198719802 224793252 249859944 264959736 298079703 397439604 449586504 596159406 794879208 1192318812 2384637624 5155674863 10311349726 15467024589 20622699452 30934049178 41245398904 46401073767 61868098356 92802147534 123736196712 139203221301 185604295068 278406442602 371208590136 556812885204 1113625770408