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23201553216 = 2631713995081
BaseRepresentation
bin10101100110111010…
…111001101101000000
32012212221211000121210
4111212322321231000
5340004044200331
614354133450120
71450645643202
oct254672715500
965787730553
1023201553216
119926743376
1245b61a0940
132259a6b41a
1411a1596772
1590bd74446
hex566eb9b40

23201553216 has 112 divisors (see below), whose sum is σ = 65057731200. Its totient is φ = 7272284160.

The previous prime is 23201553143. The next prime is 23201553223. The reversal of 23201553216 is 61235510232.

It is a super-3 number, since 3×232015532163 (a number of 32 digits) contains 333 as substring.

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, 4563796 + ... + 4568876.

It is an arithmetic number, because the mean of its divisors is an integer number (580872600).

Almost surely, 223201553216 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 23201553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32528865600).

23201553216 is an abundant number, since it is smaller than the sum of its proper divisors (41856177984).

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

23201553216 is a wasteful number, since it uses less digits than its factorization.

23201553216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 23201553216 in words is "twenty-three billion, two hundred one million, five hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1399 1632 2798 3264 4197 5081 5596 8394 10162 11192 15243 16788 20324 22384 23783 30486 33576 40648 44768 47566 60972 67152 71349 81296 86377 89536 95132 121944 134304 142698 162592 172754 190264 243888 259131 268608 285396 325184 345508 380528 487776 518262 570792 691016 761056 975552 1036524 1141584 1382032 1522112 2073048 2283168 2764064 4146096 4566336 5528128 7108319 8292192 14216638 16584384 21324957 28433276 42649914 56866552 85299828 113733104 120841423 170599656 227466208 241682846 341199312 362524269 454932416 483365692 682398624 725048538 966731384 1364797248 1450097076 1933462768 2900194152 3866925536 5800388304 7733851072 11600776608 23201553216