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21863908152 = 2334192277823
BaseRepresentation
bin10100010111001100…
…001100001100111000
32002102201210121120000
4110113030030030320
5324234130030102
614013311233000
71402544103312
oct242714141470
962381717500
1021863908152
1192aa673889
1242a2218760
1320a58b2778
1410b5a767b2
1587e6ea01c
hex51730c338

21863908152 has 160 divisors (see below), whose sum is σ = 64754553600. Its totient is φ = 6873097536.

The previous prime is 21863908061. The next prime is 21863908153. The reversal of 21863908152 is 25180936812.

21863908152 is a `hidden beast` number, since 2 + 1 + 8 + 639 + 0 + 8 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21863908098 and 21863908107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21863908153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2790913 + ... + 2798735.

It is an arithmetic number, because the mean of its divisors is an integer number (404715960).

Almost surely, 221863908152 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 21863908152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32377276800).

21863908152 is an abundant number, since it is smaller than the sum of its proper divisors (42890645448).

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

21863908152 is a wasteful number, since it uses less digits than its factorization.

21863908152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8087 (or 8074 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 21863908152 in words is "twenty-one billion, eight hundred sixty-three million, nine hundred eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 227 228 324 342 454 456 513 648 681 684 908 1026 1362 1368 1539 1816 2043 2052 2724 3078 4086 4104 4313 5448 6129 6156 7823 8172 8626 12258 12312 12939 15646 16344 17252 18387 23469 24516 25878 31292 34504 36774 38817 46938 49032 51756 62584 70407 73548 77634 93876 103512 116451 140814 147096 148637 155268 187752 211221 232902 281628 297274 310536 349353 422442 445911 465804 563256 594548 633663 698706 844884 891822 931608 1189096 1267326 1337733 1397412 1689768 1775821 1783644 2534652 2675466 2794824 3551642 3567288 4013199 5069304 5327463 5350932 7103284 8026398 10654926 10701864 12039597 14206568 15982389 16052796 21309852 24079194 31964778 32105592 33740599 42619704 47947167 48158388 63929556 67481198 95894334 96316776 101221797 127859112 134962396 143841501 191788668 202443594 269924792 287683002 303665391 383577336 404887188 575366004 607330782 809774376 910996173 1150732008 1214661564 1821992346 2429323128 2732988519 3643984692 5465977038 7287969384 10931954076 21863908152