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21206450592 = 25357193793
BaseRepresentation
bin10011110000000000…
…001100000110100000
32000201220200022100000
4103300000030012200
5321412322404332
613424143500000
71350341566365
oct236000140640
960656608300
1021206450592
118aa2541228
124139bb7600
131ccc61a222
14105261446c
15841b2cb7c
hex4f000c1a0

21206450592 has 144 divisors (see below), whose sum is σ = 62642885760. Its totient is φ = 7057124352.

The previous prime is 21206450543. The next prime is 21206450597. The reversal of 21206450592 is 29505460212.

21206450592 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 64 + 5 + 0 + 592 = 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 (21206450597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5589048 + ... + 5592840.

It is an arithmetic number, because the mean of its divisors is an integer number (435020040).

Almost surely, 221206450592 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 21206450592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31321442880).

21206450592 is an abundant number, since it is smaller than the sum of its proper divisors (41436435168).

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

21206450592 is an equidigital number, since it uses as much as digits as its factorization.

21206450592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 21206450592 in words is "twenty-one billion, two hundred six million, four hundred fifty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 719 864 972 1296 1438 1944 2157 2592 2876 3793 3888 4314 5752 6471 7586 7776 8628 11379 11504 12942 15172 17256 19413 22758 23008 25884 30344 34137 34512 38826 45516 51768 58239 60688 68274 69024 77652 91032 102411 103536 116478 121376 136548 155304 174717 182064 204822 207072 232956 273096 307233 310608 349434 364128 409644 465912 546192 614466 621216 698868 819288 921699 931824 1092384 1228932 1397736 1638576 1843398 1863648 2457864 2727167 2795472 3277152 3686796 4915728 5454334 5590944 7373592 8181501 9831456 10908668 14747184 16363002 21817336 24544503 29494368 32726004 43634672 49089006 65452008 73633509 87269344 98178012 130904016 147267018 196356024 220900527 261808032 294534036 392712048 441801054 589068072 662701581 785424096 883602108 1178136144 1325403162 1767204216 2356272288 2650806324 3534408432 5301612648 7068816864 10603225296 21206450592