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1136906207376 = 243175999192531
BaseRepresentation
bin10000100010110100111…
…001000000000010010000
311000200112221121100121020
4100202310321000002100
5122111340442114001
62230142033355440
7145065411212532
oct20426471000220
94020487540536
101136906207376
113a9182a07925
1216440b708b80
1383295bc6cc4
143d052c15852
151e890a68736
hex108b4e40090

1136906207376 has 160 divisors (see below), whose sum is σ = 3119586048000. Its totient is φ = 355553003520.

The previous prime is 1136906207287. The next prime is 1136906207383. The reversal of 1136906207376 is 6737026096311.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 449191231 + ... + 449193761.

It is an arithmetic number, because the mean of its divisors is an integer number (19497412800).

Almost surely, 21136906207376 is an apocalyptic number.

1136906207376 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 1136906207376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559793024000).

1136906207376 is an abundant number, since it is smaller than the sum of its proper divisors (1982679840624).

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

1136906207376 is a wasteful number, since it uses less digits than its factorization.

1136906207376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 51.

The spelling of 1136906207376 in words is "one trillion, one hundred thirty-six billion, nine hundred six million, two hundred seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 599 816 919 1198 1797 1838 2396 2531 2757 3594 3676 4792 5062 5514 7188 7352 7593 9584 10124 10183 11028 14376 14704 15186 15623 20248 20366 22056 28752 30372 30549 31246 40496 40732 43027 44112 46869 60744 61098 62492 81464 86054 93738 121488 122196 124984 129081 162928 172108 187476 244392 249968 258162 344216 374952 488784 516324 550481 688432 749904 1032648 1100962 1516069 1651443 2065296 2201924 2325989 3032138 3302886 4403848 4548207 4651978 6064276 6605772 6977967 8807696 9096414 9303956 9358177 12128552 13211544 13955934 18192828 18607912 18716354 24257104 25773173 26423088 27911868 28074531 36385656 37215824 37432708 39541813 51546346 55823736 56149062 72771312 74865416 77319519 79083626 103092692 111647472 112298124 118625439 149730832 154639038 158167252 206185384 224596248 237250878 309278076 316334504 412370768 449192496 474501756 618556152 632669008 949003512 1237112304 1393267411 1898007024 2786534822 4179802233 5573069644 8359604466 11146139288 16719208932 22292278576 23685545987 33438417864 47371091974 66876835728 71056637961 94742183948 142113275922 189484367896 284226551844 378968735792 568453103688 1136906207376