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20320002890964 = 22327317643395597
BaseRepresentation
bin1001001111011000111101…
…00011011101110011010100
32122221120110221100200022100
410213230132203131303110
510130410331220002324
6111114514102402100
74165033420511520
oct447543643356324
978846427320270
1020320002890964
116524734988387
12234219ba30330
13b452252900aa
145036c9bd8d80
152538836824c9
hex127b1e8ddcd4

20320002890964 has 144 divisors (see below), whose sum is σ = 58979142488448. Its totient is φ = 5778385323264.

The previous prime is 20320002890959. The next prime is 20320002890983. The reversal of 20320002890964 is 46909820002302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51167614 + ... + 51563210.

It is an arithmetic number, because the mean of its divisors is an integer number (409577378392).

Almost surely, 220320002890964 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 20320002890964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29489571244224).

20320002890964 is an abundant number, since it is smaller than the sum of its proper divisors (38659139597484).

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

20320002890964 is a wasteful number, since it uses less digits than its factorization.

20320002890964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396574 (or 396569 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 20320002890964 in words is "twenty trillion, three hundred twenty billion, two million, eight hundred ninety thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 317 634 643 951 1268 1286 1902 1929 2219 2572 2853 3804 3858 4438 4501 5706 5787 6657 7716 8876 9002 11412 11574 13314 13503 18004 19971 23148 26628 27006 39942 40509 54012 79884 81018 162036 203831 395597 407662 611493 791194 815324 1186791 1222986 1426817 1582388 1834479 2373582 2445972 2769179 2853634 3560373 3668958 4280451 4747164 5538358 5707268 7120746 7337916 8307537 8560902 11076716 12841353 14241492 16615074 17121804 24922611 25682706 33230148 49845222 51365412 99690444 125404249 250808498 254368871 376212747 501616996 508737742 752425494 763106613 877829743 1017475484 1128638241 1504850988 1526213226 1755659486 1780582097 2257276482 2289319839 2633489229 3052426452 3511318972 3561164194 4514552964 4578639678 5266978458 5341746291 7122328388 7900467687 9157279356 10533956916 10683492582 15800935374 16025238873 21366985164 31601870748 32050477746 64100955492 80634932107 161269864214 241904796321 322539728428 483809592642 564444524749 725714388963 967619185284 1128889049498 1451428777926 1693333574247 2257778098996 2902857555852 3386667148494 5080000722741 6773334296988 10160001445482 20320002890964