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21327820752 = 2437213169221
BaseRepresentation
bin10011110111001111…
…001011011111010000
32001001101001112220010
4103313033023133100
5322134410231002
613444201114520
71353344325300
oct236717133720
961041045803
1021327820752
119054aa9447
124172788a40
13201b8039a4
1410647a9600
1584c60446c
hex4f73cb7d0

21327820752 has 120 divisors (see below), whose sum is σ = 64582464672. Its totient is φ = 6047059200.

The previous prime is 21327820681. The next prime is 21327820769. The reversal of 21327820752 is 25702872312.

It is a self number, because there is not a number n which added to its sum of digits gives 21327820752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273502 + ... + 342722.

Almost surely, 221327820752 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 21327820752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32291232336).

21327820752 is an abundant number, since it is smaller than the sum of its proper divisors (43254643920).

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

21327820752 is a wasteful number, since it uses less digits than its factorization.

21327820752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69377 (or 69364 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 21327820752 in words is "twenty-one billion, three hundred twenty-seven million, eight hundred twenty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 131 147 168 196 262 294 336 392 393 524 588 784 786 917 1048 1176 1572 1834 2096 2352 2751 3144 3668 5502 6288 6419 7336 11004 12838 14672 19257 22008 25676 38514 44016 51352 69221 77028 102704 138442 154056 207663 276884 308112 415326 484547 553768 830652 969094 1107536 1453641 1661304 1938188 2907282 3322608 3391829 3876376 5814564 6783658 7752752 9067951 10175487 11629128 13567316 18135902 20350974 23258256 27134632 27203853 36271804 40701948 54269264 54407706 63475657 72543608 81403896 108815412 126951314 145087216 162807792 190426971 217630824 253902628 380853942 435261648 444329599 507805256 761707884 888659198 1015610512 1332988797 1523415768 1777318396 2665977594 3046831536 3554636792 5331955188 7109273584 10663910376 21327820752