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12391153664 = 217176783
BaseRepresentation
bin10111000101001001…
…00000000000000000
31011222120010211022012
423202210200000000
5200334113404124
65405321232052
7616031032301
oct134244400000
934876124265
1012391153664
11528953516a
122499932628
1312261c96b6
1485795c7a8
154c7c87e0e
hex2e2920000

12391153664 has 144 divisors (see below), whose sum is σ = 26952494688. Its totient is φ = 5674893312.

The previous prime is 12391153657. The next prime is 12391153667. The reversal of 12391153664 is 46635119321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12391153667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149290967 + ... + 149291049.

It is an arithmetic number, because the mean of its divisors is an integer number (187170102).

Almost surely, 212391153664 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 12391153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476247344).

12391153664 is an abundant number, since it is smaller than the sum of its proper divisors (14561341024).

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

12391153664 is an frugal number, since it uses more digits than its factorization.

12391153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 169 counting only the distinct ones).

The product of its digits is 116640, while the sum is 41.

The spelling of 12391153664 in words is "twelve billion, three hundred ninety-one million, one hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 83 128 134 136 166 256 268 272 332 512 536 544 664 1024 1072 1088 1139 1328 1411 2048 2144 2176 2278 2656 2822 4096 4288 4352 4556 5312 5561 5644 8192 8576 8704 9112 10624 11122 11288 16384 17152 17408 18224 21248 22244 22576 32768 34304 34816 36448 42496 44488 45152 65536 68608 69632 72896 84992 88976 90304 94537 131072 137216 139264 145792 169984 177952 180608 189074 274432 278528 291584 339968 355904 361216 378148 548864 557056 583168 679936 711808 722432 756296 1097728 1114112 1166336 1359872 1423616 1444864 1512592 2195456 2228224 2332672 2719744 2847232 2889728 3025184 4390912 4665344 5439488 5694464 5779456 6050368 8781824 9330688 10878976 11388928 11558912 12100736 18661376 22777856 23117824 24201472 37322752 45555712 46235648 48402944 74645504 91111424 92471296 96805888 149291008 182222848 184942592 193611776 364445696 387223552 728891392 774447104 1548894208 3097788416 6195576832 12391153664