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1138955664 = 2437111718127
BaseRepresentation
bin100001111100011…
…0001010110010000
32221101010221110010
41003320301112100
54313033040124
6305003434520
740136651310
oct10370612620
92841127403
101138955664
11534a02280
12279525a40
13151c70082
14ab39d440
1569ecd529
hex43e31590

1138955664 has 160 divisors (see below), whose sum is σ = 3884322816. Its totient is φ = 278415360.

The previous prime is 1138955651. The next prime is 1138955737. The reversal of 1138955664 is 4665598311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53769 + ... + 71895.

Almost surely, 21138955664 is an apocalyptic number.

1138955664 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 1138955664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942161408).

1138955664 is an abundant number, since it is smaller than the sum of its proper divisors (2745367152).

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

1138955664 is a wasteful number, since it uses less digits than its factorization.

1138955664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18173 (or 18167 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 1138955664 is about 33748.4172073299. The cubic root of 1138955664 is about 1044.3248354286.

The spelling of 1138955664 in words is "one billion, one hundred thirty-eight million, nine hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 33 34 42 44 48 51 56 66 68 77 84 88 102 112 119 132 136 154 168 176 187 204 231 238 264 272 308 336 357 374 408 462 476 528 561 616 714 748 816 924 952 1122 1232 1309 1428 1496 1848 1904 2244 2618 2856 2992 3696 3927 4488 5236 5712 7854 8976 10472 15708 18127 20944 31416 36254 54381 62832 72508 108762 126889 145016 199397 217524 253778 290032 308159 380667 398794 435048 507556 598191 616318 761334 797588 870096 924477 1015112 1196382 1232636 1395779 1522668 1595176 1848954 2030224 2157113 2392764 2465272 2791558 3045336 3190352 3389749 3697908 4187337 4314226 4785528 4930544 5583116 6090672 6471339 6779498 7395816 8374674 8628452 9571056 10169247 11166232 12942678 13558996 14791632 16749348 17256904 20338494 22332464 23728243 25885356 27117992 33498696 34513808 40676988 47456486 51770712 54235984 66997392 71184729 81353976 94912972 103541424 142369458 162707952 189825944 284738916 379651888 569477832 1138955664