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48692975616 = 211323771399
BaseRepresentation
bin101101010110010100…
…111101100000000000
311122200111102110020100
4231112110331200000
51244210400204431
634211431242400
73342441315015
oct552624754000
9148614373210
1048692975616
1119717a0830a
12952b219400
13479004570c
1424dcd0170c
1513eec684e6
hexb5653d800

48692975616 has 144 divisors (see below), whose sum is σ = 144437202000. Its totient is φ = 15792095232.

The previous prime is 48692975609. The next prime is 48692975627. The reversal of 48692975616 is 61657929684.

48692975616 is a `hidden beast` number, since 4 + 8 + 6 + 9 + 2 + 9 + 7 + 5 + 616 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 646285 + ... + 717683.

It is an arithmetic number, because the mean of its divisors is an integer number (1003036125).

Almost surely, 248692975616 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 48692975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72218601000).

48692975616 is an abundant number, since it is smaller than the sum of its proper divisors (95744226384).

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

48692975616 is a wasteful number, since it uses less digits than its factorization.

48692975616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71464 (or 71441 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 48692975616 in words is "forty-eight billion, six hundred ninety-two million, nine hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2048 2304 2368 2664 3072 3552 4608 4736 5328 6144 7104 9216 9472 10656 14208 18432 18944 21312 28416 37888 42624 56832 71399 75776 85248 113664 142798 170496 214197 227328 285596 340992 428394 571192 642591 681984 856788 1142384 1285182 1713576 2284768 2570364 2641763 3427152 4569536 5140728 5283526 6854304 7925289 9139072 10281456 10567052 13708608 15850578 18278144 20562912 21134104 23775867 27417216 31701156 36556288 41125824 42268208 47551734 54834432 63402312 73112576 82251648 84536416 95103468 109668864 126804624 146225152 164503296 169072832 190206936 219337728 253609248 329006592 338145664 380413872 438675456 507218496 658013184 676291328 760827744 1014436992 1316026368 1352582656 1521655488 2028873984 2705165312 3043310976 4057747968 5410330624 6086621952 8115495936 12173243904 16230991872 24346487808 48692975616