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21296145312 = 2532138368531
BaseRepresentation
bin10011110101010110…
…010110001110100000
32000222011110021100200
4103311112112032200
5322103303122222
613441110145200
71352511151131
oct236526261640
960864407320
1021296145312
1190391341a2
124164052200
132015093220
1410604c1c88
15849948eac
hex4f55963a0

21296145312 has 144 divisors (see below), whose sum is σ = 66006184608. Its totient is φ = 6473617920.

The previous prime is 21296145287. The next prime is 21296145317. The reversal of 21296145312 is 21354169212.

21296145312 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 614 + 5 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (21296145317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276487 + ... + 345017.

It is an arithmetic number, because the mean of its divisors is an integer number (458376282).

Almost surely, 221296145312 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 21296145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33003092304).

21296145312 is an abundant number, since it is smaller than the sum of its proper divisors (44710039296).

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

21296145312 is a wasteful number, since it uses less digits than its factorization.

21296145312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68643 (or 68632 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 21296145312 in words is "twenty-one billion, two hundred ninety-six million, one hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 83 96 104 117 144 156 166 208 234 249 288 312 332 416 468 498 624 664 747 936 996 1079 1248 1328 1494 1872 1992 2158 2656 2988 3237 3744 3984 4316 5976 6474 7968 8632 9711 11952 12948 17264 19422 23904 25896 34528 38844 51792 68531 77688 103584 137062 155376 205593 274124 310752 411186 548248 616779 822372 890903 1096496 1233558 1644744 1781806 2192992 2467116 2672709 3289488 3563612 4934232 5345418 5688073 6578976 7127224 8018127 9868464 10690836 11376146 14254448 16036254 17064219 19736928 21381672 22752292 28508896 32072508 34128438 42763344 45504584 51192657 64145016 68256876 73944949 85526688 91009168 102385314 128290032 136513752 147889898 182018336 204770628 221834847 256580064 273027504 295779796 409541256 443669694 546055008 591559592 665504541 819082512 887339388 1183119184 1331009082 1638165024 1774678776 2366238368 2662018164 3549357552 5324036328 7098715104 10648072656 21296145312