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1384117152 = 253111777101
BaseRepresentation
bin101001001111111…
…1111001110100000
310120110110102210020
41102133333032200
510313313222102
6345202233440
746204541655
oct12237771640
93513412706
101384117152
11650330780
12327655880
131909aa342
14d1b79c2c
15817a8bbc
hex527ff3a0

1384117152 has 96 divisors (see below), whose sum is σ = 4196816064. Its totient is φ = 394752000.

The previous prime is 1384117151. The next prime is 1384117211. The reversal of 1384117152 is 2517114831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13841171522 = 3831560580921182208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1384117151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20599 + ... + 56502.

It is an arithmetic number, because the mean of its divisors is an integer number (43716834).

Almost surely, 21384117152 is an apocalyptic number.

1384117152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1384117152 is an abundant number, since it is smaller than the sum of its proper divisors (2812698912).

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

1384117152 is a wasteful number, since it uses less digits than its factorization.

1384117152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77142 (or 77134 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

The square root of 1384117152 is about 37203.7249747925. The cubic root of 1384117152 is about 1114.4423742169.

The spelling of 1384117152 in words is "one billion, three hundred eighty-four million, one hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 77101 154202 231303 308404 462606 616808 848111 925212 1233616 1310717 1696222 1850424 2467232 2544333 2621434 3392444 3700848 3932151 5088666 5242868 6784888 7401696 7864302 10177332 10485736 13569776 14417887 15728604 20354664 20971472 27139552 28835774 31457208 40709328 41942944 43253661 57671548 62914416 81418656 86507322 115343096 125828832 173014644 230686192 346029288 461372384 692058576 1384117152