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21850465152 = 273237613251
BaseRepresentation
bin10100010110011000…
…111010001110000000
32002101210111122020010
4110112120322032000
5324222204341102
614012111144520
71402321614015
oct242630721600
962353448203
1021850465152
1192a302196a
124299815140
1320a2b86a29
1410b3d7770c
1587d441d6c
hex51663a380

21850465152 has 128 divisors (see below), whose sum is σ = 60662027520. Its totient is φ = 6955520000.

The previous prime is 21850465151. The next prime is 21850465159. The reversal of 21850465152 is 25156405812.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 21850465152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21850465151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6719527 + ... + 6722777.

It is an arithmetic number, because the mean of its divisors is an integer number (473922090).

Almost surely, 221850465152 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 21850465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30331013760).

21850465152 is an abundant number, since it is smaller than the sum of its proper divisors (38811562368).

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

21850465152 is a wasteful number, since it uses less digits than its factorization.

21850465152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 21850465152 in words is "twenty-one billion, eight hundred fifty million, four hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 761 1104 1472 1522 2208 2283 2944 3044 3251 4416 4566 6088 6502 8832 9132 9753 12176 13004 17503 18264 19506 24352 26008 35006 36528 39012 48704 52016 52509 70012 73056 74773 78024 97408 104032 105018 140024 146112 149546 156048 208064 210036 224319 280048 292224 299092 312096 416128 420072 448638 560096 598184 624192 840144 897276 1120192 1196368 1248384 1680288 1794552 2240384 2392736 2474011 3360576 3589104 4785472 4948022 6721152 7178208 7422033 9570944 9896044 14356416 14844066 19792088 28712832 29688132 39584176 56902253 59376264 79168352 113804506 118752528 158336704 170706759 227609012 237505056 316673408 341413518 455218024 475010112 682827036 910436048 950020224 1365654072 1820872096 2731308144 3641744192 5462616288 7283488384 10925232576 21850465152