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21152211156432 = 2433711016827981
BaseRepresentation
bin1001100111100111000100…
…00010000011110111010000
32202220010112222000211102000
410303303202002003313100
510233024212024001212
6112553105221554000
74312124340165246
oct463634202036720
982803488024360
1021152211156432
116815669840694
122457534875900
13ba584cc683c5
14531ab5998796
1526a33e39e1dc
hex133ce2083dd0

21152211156432 has 160 divisors (see below), whose sum is σ = 62179427761920. Its totient is φ = 6882603840000.

The previous prime is 21152211156413. The next prime is 21152211156457. The reversal of 21152211156432 is 23465111225112.

21152211156432 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 2 + 2 + 1 + 1 + 1 + 5 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316119 + ... + 6511862.

It is an arithmetic number, because the mean of its divisors is an integer number (388621423512).

Almost surely, 221152211156432 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 21152211156432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31089713880960).

21152211156432 is an abundant number, since it is smaller than the sum of its proper divisors (41027216605488).

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

21152211156432 is a wasteful number, since it uses less digits than its factorization.

21152211156432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828170 (or 6828158 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 21152211156432 in words is "twenty-one trillion, one hundred fifty-two billion, two hundred eleven million, one hundred fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 101 108 142 144 202 213 216 284 303 404 426 432 568 606 639 808 852 909 1136 1212 1278 1616 1704 1818 1917 2424 2556 2727 3408 3636 3834 4848 5112 5454 7171 7272 7668 10224 10908 14342 14544 15336 21513 21816 28684 30672 43026 43632 57368 64539 86052 114736 129078 172104 193617 258156 344208 387234 516312 774468 1032624 1548936 3097872 6827981 13655962 20483943 27311924 40967886 54623848 61451829 81935772 109247696 122903658 163871544 184355487 245807316 327743088 368710974 484786651 491614632 689626081 737421948 969573302 983229264 1379252162 1454359953 1474843896 1939146604 2068878243 2758504324 2908719906 2949687792 3878293208 4137756486 4363079859 5517008648 5817439812 6206634729 7756586416 8275512972 8726159718 11034017296 11634879624 12413269458 13089239577 16551025944 17452319436 18619904187 23269759248 24826538916 26178479154 33102051888 34904638872 37239808374 48963451751 49653077832 52356958308 69809277744 74479616748 97926903502 99306155664 104713916616 146890355253 148959233496 195853807004 209427833232 293780710506 297918466992 391707614008 440671065759 587561421012 783415228016 881342131518 1175122842024 1322013197277 1762684263036 2350245684048 2644026394554 3525368526072 5288052789108 7050737052144 10576105578216 21152211156432