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19885864032 = 2532237142283
BaseRepresentation
bin10010100001010010…
…100011010001100000
31220022212202120010200
4102201102203101200
5311211240122112
613045131025200
71302535024656
oct224122432140
956285676120
1019885864032
118485062a81
123a2b89b200
131b4bb54b68
14d69094dd6
157b5c22cdc
hex4a14a3460

19885864032 has 144 divisors (see below), whose sum is σ = 59841669888. Its totient is φ = 6250970880.

The previous prime is 19885864013. The next prime is 19885864073. The reversal of 19885864032 is 23046858891.

19885864032 is a `hidden beast` number, since 19 + 8 + 8 + 586 + 40 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 19885864032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449163 + ... + 491445.

It is an arithmetic number, because the mean of its divisors is an integer number (415567152).

Almost surely, 219885864032 is an apocalyptic number.

19885864032 is a gapful number since it is divisible by the number (12) 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 19885864032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29920834944).

19885864032 is an abundant number, since it is smaller than the sum of its proper divisors (39955805856).

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

19885864032 is a wasteful number, since it uses less digits than its factorization.

19885864032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42393 (or 42382 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 19885864032 in words is "nineteen billion, eight hundred eighty-five million, eight hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 71 72 92 96 138 142 144 184 207 213 276 284 288 368 414 426 552 568 639 736 828 852 1104 1136 1278 1633 1656 1704 2208 2272 2556 3266 3312 3408 4899 5112 6532 6624 6816 9798 10224 13064 14697 19596 20448 26128 29394 39192 42283 52256 58788 78384 84566 117576 126849 156768 169132 235152 253698 338264 380547 470304 507396 676528 761094 972509 1014792 1353056 1522188 1945018 2029584 2917527 3002093 3044376 3890036 4059168 5835054 6004186 6088752 7780072 8752581 9006279 11670108 12008372 12177504 15560144 17505162 18012558 23340216 24016744 27018837 31120288 35010324 36025116 46680432 48033488 54037674 69048139 70020648 72050232 93360864 96066976 108075348 138096278 140041296 144100464 207144417 216150696 276192556 280082592 288200928 414288834 432301392 552385112 621433251 828577668 864602784 1104770224 1242866502 1657155336 2209540448 2485733004 3314310672 4971466008 6628621344 9942932016 19885864032