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12087934464 = 293232631301
BaseRepresentation
bin10110100000111111…
…10011111000000000
31011012102120200202110
423100133303320000
5144224002400324
65315250215320
7605356514304
oct132037637000
934172520673
1012087934464
115143362091
122414284540
1311a8442558
1482958bd04
154ab340329
hex2d07f3e00

12087934464 has 160 divisors (see below), whose sum is σ = 33756839424. Its totient is φ = 3836518400.

The previous prime is 12087934427. The next prime is 12087934471. The reversal of 12087934464 is 46443978021.

It is a super-2 number, since 2×120879344642 (a number of 21 digits) contains 22 as substring.

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

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, 9290614 + ... + 9291914.

Almost surely, 212087934464 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 12087934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16878419712).

12087934464 is an abundant number, since it is smaller than the sum of its proper divisors (21668904960).

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

12087934464 is a wasteful number, since it uses less digits than its factorization.

12087934464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 12087934464 in words is "twelve billion, eighty-seven million, nine hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 263 276 368 384 512 526 552 736 768 789 1052 1104 1301 1472 1536 1578 2104 2208 2602 2944 3156 3903 4208 4416 5204 5888 6049 6312 7806 8416 8832 10408 11776 12098 12624 15612 16832 17664 18147 20816 24196 25248 29923 31224 33664 35328 36294 41632 48392 50496 59846 62448 67328 72588 83264 89769 96784 100992 119692 124896 134656 145176 166528 179538 193568 201984 239384 249792 290352 333056 342163 359076 387136 403968 478768 499584 580704 666112 684326 718152 774272 957536 999168 1026489 1161408 1368652 1436304 1548544 1915072 1998336 2052978 2322816 2737304 2872608 3097088 3830144 4105956 4645632 5474608 5745216 7660288 7869749 8211912 9291264 10949216 11490432 15320576 15739498 16423824 21898432 22980864 23609247 31478996 32847648 43796864 45961728 47218494 62957992 65695296 87593728 94436988 125915984 131390592 175187456 188873976 251831968 262781184 377747952 503663936 525562368 755495904 1007327872 1510991808 2014655744 3021983616 4029311488 6043967232 12087934464