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11710908864 = 263217270351
BaseRepresentation
bin10101110100000011…
…00100100111000000
31010020011010210212100
422322001210213000
5142440443040424
65214021230400
7563131040304
oct127201444700
933204123770
1011710908864
114a6a559186
122329b62400
1311482b6195
147d1487d04
154881b8dc9
hex2ba0649c0

11710908864 has 126 divisors (see below), whose sum is σ = 35658403664. Its totient is φ = 3673958400.

The previous prime is 11710908851. The next prime is 11710908883. The reversal of 11710908864 is 46880901711.

It is a happy number.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 131289 + ... + 201639.

Almost surely, 211710908864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11710908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829201832).

11710908864 is an abundant number, since it is smaller than the sum of its proper divisors (23947494800).

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

11710908864 is a wasteful number, since it uses less digits than its factorization.

11710908864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70403 (or 70373 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11710908864 in words is "eleven billion, seven hundred ten million, nine hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 289 306 408 544 576 578 612 816 867 1088 1156 1224 1632 1734 2312 2448 2601 3264 3468 4624 4896 5202 6936 9248 9792 10404 13872 18496 20808 27744 41616 55488 70351 83232 140702 166464 211053 281404 422106 562808 633159 844212 1125616 1195967 1266318 1688424 2251232 2391934 2532636 3376848 3587901 4502464 4783868 5065272 6753696 7175802 9567736 10130544 10763703 13507392 14351604 19135472 20261088 20331439 21527406 28703208 38270944 40522176 40662878 43054812 57406416 60994317 76541888 81325756 86109624 114812832 121988634 162651512 172219248 182982951 229625664 243977268 325303024 344438496 365965902 487954536 650606048 688876992 731931804 975909072 1301212096 1463863608 1951818144 2927727216 3903636288 5855454432 11710908864