Search a number
-
+
1018725738732 = 223413653370387
BaseRepresentation
bin11101101001100001100…
…10010010100011101100
310121101111202012111220000
432310300302102203230
5113142322242114412
62055555100024300
7133412654622342
oct16646062224354
93541452174800
101018725738732
11363048137629
12145529232090
13750b097aa10
14374413cb992
151b7756c84dc
hexed30c928ec

1018725738732 has 120 divisors (see below), whose sum is σ = 2872407831216. Its totient is φ = 312973206912.

The previous prime is 1018725738731. The next prime is 1018725738757. The reversal of 1018725738732 is 2378375278101.

1018725738732 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 7 + 257 + 387 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1018725738731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2565243 + ... + 2935629.

Almost surely, 21018725738732 is an apocalyptic number.

1018725738732 is a gapful number since it is divisible by the number (12) 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 1018725738732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436203915608).

1018725738732 is an abundant number, since it is smaller than the sum of its proper divisors (1853682092484).

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

1018725738732 is a wasteful number, since it uses less digits than its factorization.

1018725738732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371069 (or 371058 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 1018725738732 in words is "one trillion, eighteen billion, seven hundred twenty-five million, seven hundred thirty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 653 702 1053 1306 1404 1959 2106 2612 3918 4212 5877 7836 8489 11754 16978 17631 23508 25467 33956 35262 50934 52893 70524 76401 101868 105786 152802 211572 229203 305604 370387 458406 687609 740774 916812 1111161 1375218 1481548 2222322 2750436 3333483 4444644 4815031 6666966 9630062 10000449 13333932 14445093 19260124 20000898 28890186 30001347 40001796 43335279 57780372 60002694 86670558 120005388 130005837 173341116 241862711 260011674 390017511 483725422 520023348 725588133 780035022 967450844 1451176266 1560070044 2176764399 2902352532 3144215243 4353528798 6288430486 6530293197 8707057596 9432645729 12576860972 13060586394 18865291458 19590879591 26121172788 28297937187 37730582916 39181759182 56595874374 78363518364 84893811561 113191748748 169787623122 254681434683 339575246244 509362869366 1018725738732