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11625783136 = 2511234730553
BaseRepresentation
bin10101101001111001…
…10101111101100000
31010000012221222022121
422310330311331200
5142302200030021
65201340514024
7561045345322
oct126474657540
933005858277
1011625783136
114a264a6a40
12230554b914
13113377ca26
147c4049612
154809a1741
hex2b4f35f60

11625783136 has 96 divisors (see below), whose sum is σ = 26609845248. Its totient is φ = 4946979840.

The previous prime is 11625783083. The next prime is 11625783161. The reversal of 11625783136 is 63138752611.

It is a junction number, because it is equal to n+sod(n) for n = 11625783092 and 11625783101.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 365236 + ... + 395788.

It is an arithmetic number, because the mean of its divisors is an integer number (277185888).

Almost surely, 211625783136 is an apocalyptic number.

11625783136 is a gapful number since it is divisible by the number (16) 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 11625783136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13304922624).

11625783136 is an abundant number, since it is smaller than the sum of its proper divisors (14984062112).

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

11625783136 is a wasteful number, since it uses less digits than its factorization.

11625783136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30644 (or 30636 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The spelling of 11625783136 in words is "eleven billion, six hundred twenty-five million, seven hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 47 88 92 94 176 184 188 253 352 368 376 506 517 736 752 1012 1034 1081 1504 2024 2068 2162 4048 4136 4324 8096 8272 8648 11891 16544 17296 23782 30553 34592 47564 61106 95128 122212 190256 244424 336083 380512 488848 672166 702719 977696 1344332 1405438 1435991 2688664 2810876 2871982 5377328 5621752 5743964 7729909 10754656 11243504 11487928 15459818 15795901 22487008 22975856 30919636 31591802 33027793 45951712 61839272 63183604 66055586 123678544 126367208 132111172 247357088 252734416 264222344 363305723 505468832 528444688 726611446 1056889376 1453222892 2906445784 5812891568 11625783136