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20832351664 = 2431971912267
BaseRepresentation
bin10011011001101101…
…000111010110110000
31222202211202010002011
4103121231013112300
5320131040223124
613323101332304
71335150032065
oct233155072660
958684663064
1020832351664
118920357163
124054867094
131c6cc77007
141018a72c6c
1581dd83994
hex4d9b475b0

20832351664 has 80 divisors (see below), whose sum is σ = 42333290496. Its totient is φ = 9919641600.

The previous prime is 20832351653. The next prime is 20832351671. The reversal of 20832351664 is 46615323802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9188259 + ... + 9190525.

Almost surely, 220832351664 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 20832351664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21166645248).

20832351664 is an abundant number, since it is smaller than the sum of its proper divisors (21500938832).

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

20832351664 is a wasteful number, since it uses less digits than its factorization.

20832351664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 20832351664 in words is "twenty billion, eight hundred thirty-two million, three hundred fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 97 124 191 194 248 382 388 496 764 776 1528 1552 2267 3007 3056 4534 5921 6014 9068 11842 12028 18136 18527 23684 24056 36272 37054 47368 48112 70277 74108 94736 140554 148216 219899 281108 296432 432997 439798 562216 574337 865994 879596 1124432 1148674 1731988 1759192 2297348 3463976 3518384 4594696 6816869 6927952 9189392 13422907 13633738 26845814 27267476 42000709 53691628 54534952 84001418 107383256 109069904 168002836 214766512 336005672 672011344 1302021979 2604043958 5208087916 10416175832 20832351664