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1134059471664 = 2437113181116493
BaseRepresentation
bin10000100000001011001…
…101100100001100110000
311000102012112222012100020
4100200023031210030300
5122040023211043124
62224551342123440
7144635023313520
oct20401315441460
94012175865306
101134059471664
113a7a52009189
12163956280580
1382c311b53c2
143cc62b07680
151e775b9b379
hex1080b364330

1134059471664 has 160 divisors (see below), whose sum is σ = 3379875531264. Its totient is φ = 320952791040.

The previous prime is 1134059471639. The next prime is 1134059471717. The reversal of 1134059471664 is 4661749504311.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 68751802 + ... + 68768294.

Almost surely, 21134059471664 is an apocalyptic number.

1134059471664 is a gapful number since it is divisible by the number (14) 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 1134059471664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689937765632).

1134059471664 is an abundant number, since it is smaller than the sum of its proper divisors (2245816059600).

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

1134059471664 is a wasteful number, since it uses less digits than its factorization.

1134059471664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18435 (or 18429 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 1134059471664 in words is "one trillion, one hundred thirty-four billion, fifty-nine million, four hundred seventy-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1356 1582 1808 1811 2373 2712 3164 3622 4746 5424 5433 6328 7244 9492 10866 12656 12677 14488 16493 18984 21732 25354 28976 32986 37968 38031 43464 49479 50708 65972 76062 86928 98958 101416 115451 131944 152124 197916 202832 204643 230902 263888 304248 346353 395832 409286 461804 608496 613929 692706 791664 818572 923608 1227858 1385412 1432501 1637144 1847216 1863709 2455716 2770824 2865002 3274288 3727418 4297503 4911432 5541648 5591127 5730004 7454836 8595006 9822864 11182254 11460008 13045963 14909672 17190012 22364508 22920016 26091926 29819344 29868823 34380024 39137889 44729016 52183852 59737646 68760048 78275778 89458032 89606469 104367704 119475292 156551556 179212938 208735408 209081761 238950584 313103112 358425876 418163522 477901168 626206224 627245283 716851752 836327044 1254490566 1433703504 1672654088 2508981132 3345308176 3375176999 5017962264 6750353998 10035924528 10125530997 13500707996 20251061994 23626238993 27001415992 40502123988 47252477986 54002831984 70878716979 81004247976 94504955972 141757433958 162008495952 189009911944 283514867916 378019823888 567029735832 1134059471664