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13901807568 = 24311235321599
BaseRepresentation
bin11001111001001110…
…01011111111010000
31022212211200222212210
430330213023333100
5211432330320233
610215243552120
71001333262135
oct147447137720
938784628783
1013901807568
115994231870
12283b82b640
13140717c04c
1495c43658c
155656d9163
hex33c9cbfd0

13901807568 has 160 divisors (see below), whose sum is σ = 41654476800. Its totient is φ = 3953297920.

The previous prime is 13901807567. The next prime is 13901807611. The reversal of 13901807568 is 86570810931.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13901807567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632833 + ... + 654431.

It is an arithmetic number, because the mean of its divisors is an integer number (260340480).

Almost surely, 213901807568 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 13901807568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827238400).

13901807568 is an abundant number, since it is smaller than the sum of its proper divisors (27752669232).

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

13901807568 is a wasteful number, since it uses less digits than its factorization.

13901807568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21697 (or 21691 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 13901807568 in words is "thirteen billion, nine hundred one million, eight hundred seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 53 66 69 88 92 106 132 138 159 176 184 212 253 264 276 318 368 424 506 528 552 583 636 759 848 1012 1104 1166 1219 1272 1518 1749 2024 2332 2438 2544 3036 3498 3657 4048 4664 4876 6072 6996 7314 9328 9752 12144 13409 13992 14628 19504 21599 26818 27984 29256 40227 43198 53636 58512 64797 80454 86396 107272 129594 160908 172792 214544 237589 259188 321816 345584 475178 496777 518376 643632 712767 950356 993554 1036752 1144747 1425534 1490331 1900712 1987108 2289494 2851068 2980662 3434241 3801424 3974216 4578988 5464547 5702136 5961324 6868482 7948432 9157976 10929094 11404272 11922648 12592217 13736964 16393641 18315952 21858188 23845296 25184434 26329181 27473928 32787282 37776651 43716376 50368868 52658362 54947856 65574564 75553302 78987543 87432752 100737736 105316724 131149128 151106604 157975086 201475472 210633448 262298256 289620991 302213208 315950172 421266896 579241982 604426416 631900344 868862973 1158483964 1263800688 1737725946 2316967928 3475451892 4633935856 6950903784 13901807568