Search a number
-
+
21293078352 = 2437137168659
BaseRepresentation
bin10011110101001010…
…101001011101010000
32000221221200110021120
4103311022221131100
5322102012001402
613440520322240
71352443115430
oct236512513520
960857613246
1021293078352
119037429a17
124163013380
13201455b260
14105dd242c0
158495403bc
hex4f52a9750

21293078352 has 160 divisors (see below), whose sum is σ = 68655605760. Its totient is φ = 5536581120.

The previous prime is 21293078269. The next prime is 21293078353. The reversal of 21293078352 is 25387039212.

It is a super-2 number, since 2×212930783522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21293078353) 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 31 ways as a sum of consecutive naturals, for example, 275799 + ... + 344457.

It is an arithmetic number, because the mean of its divisors is an integer number (429097536).

Almost surely, 221293078352 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 21293078352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34327802880).

21293078352 is an abundant number, since it is smaller than the sum of its proper divisors (47362527408).

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

21293078352 is a wasteful number, since it uses less digits than its factorization.

21293078352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68761 (or 68755 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 21293078352 in words is "twenty-one billion, two hundred ninety-three million, seventy-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 71 78 84 91 104 112 142 156 168 182 208 213 273 284 312 336 364 426 497 546 568 624 728 852 923 994 1092 1136 1456 1491 1704 1846 1988 2184 2769 2982 3408 3692 3976 4368 5538 5964 6461 7384 7952 11076 11928 12922 14768 19383 22152 23856 25844 38766 44304 51688 68659 77532 103376 137318 155064 205977 274636 310128 411954 480613 549272 823908 892567 961226 1098544 1441839 1647816 1785134 1922452 2677701 2883678 3295632 3570268 3844904 4874789 5355402 5767356 6247969 7140536 7689808 9749578 10710804 11534712 12495938 14281072 14624367 18743907 19499156 21421608 23069424 24991876 29248734 34123523 37487814 38998312 42843216 49983752 58497468 63372257 68247046 74975628 77996624 99967504 102370569 116994936 126744514 136494092 149951256 190116771 204741138 233989872 253489028 272988184 299902512 380233542 409482276 443605799 506978056 545976368 760467084 818964552 887211598 1013956112 1330817397 1520934168 1637929104 1774423196 2661634794 3041868336 3548846392 5323269588 7097692784 10646539176 21293078352