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1161139968 = 2833315419
BaseRepresentation
bin100010100110101…
…1001011100000000
32222220220000121000
41011031121130000
54334222434333
6311115132000
740526345502
oct10515313400
92886800530
101161139968
1154648470a
12284a44000
13156739791
14b02d5d72
156be11713
hex45359700

1161139968 has 144 divisors (see below), whose sum is σ = 3545113600. Its totient is φ = 374492160.

The previous prime is 1161139943. The next prime is 1161139979. The reversal of 1161139968 is 8699311611.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211563 + ... + 216981.

Almost surely, 21161139968 is an apocalyptic number.

1161139968 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 1161139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772556800).

1161139968 is an abundant number, since it is smaller than the sum of its proper divisors (2383973632).

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

1161139968 is an equidigital number, since it uses as much as digits as its factorization.

1161139968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5455 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 1161139968 is about 34075.5039287756. The cubic root of 1161139968 is about 1051.0616527340.

The spelling of 1161139968 in words is "one billion, one hundred sixty-one million, one hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1116 1152 1488 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 5419 5952 6696 6912 7936 8928 10838 11904 13392 16257 17856 21676 23808 26784 32514 35712 43352 48771 53568 65028 71424 86704 97542 107136 130056 146313 167989 173408 195084 214272 260112 292626 335978 346816 390168 503967 520224 585252 671956 693632 780336 1007934 1040448 1170504 1343912 1387264 1511901 1560672 2015868 2080896 2341008 2687824 3023802 3121344 4031736 4161792 4535703 4682016 5375648 6047604 6242688 8063472 9071406 9364032 10751296 12095208 12485376 16126944 18142812 18728064 21502592 24190416 32253888 36285624 37456128 43005184 48380832 64507776 72571248 96761664 129015552 145142496 193523328 290284992 387046656 580569984 1161139968