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21985406960 = 2451197257561
BaseRepresentation
bin10100011110011011…
…101010111111110000
32002202012102101120212
4110132123222333300
5330011231010320
614033331323252
71405550606246
oct243633527760
962665371525
1021985406960
119362209720
124316a50528
1320c4b1295a
1410c7c62796
1588a1e99c5
hex51e6eaff0

21985406960 has 80 divisors (see below), whose sum is σ = 56338081632. Its totient is φ = 7912243200.

The previous prime is 21985406903. The next prime is 21985407019. The reversal of 21985406960 is 6960458912.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21985406899 and 21985406908.

It is a congruent number.

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, 43421 + ... + 214140.

Almost surely, 221985406960 is an apocalyptic number.

21985406960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21985406960 is an abundant number, since it is smaller than the sum of its proper divisors (34352674672).

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

21985406960 is a wasteful number, since it uses less digits than its factorization.

21985406960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257682 (or 257676 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 21985406960 in words is "twenty-one billion, nine hundred eighty-five million, four hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 97 110 176 194 220 388 440 485 776 880 970 1067 1552 1940 2134 3880 4268 5335 7760 8536 10670 17072 21340 42680 85360 257561 515122 1030244 1287805 2060488 2575610 2833171 4120976 5151220 5666342 10302440 11332684 14165855 20604880 22665368 24983417 28331710 45330736 49966834 56663420 99933668 113326840 124917085 199867336 226653680 249834170 274817587 399734672 499668340 549635174 999336680 1099270348 1374087935 1998673360 2198540696 2748175870 4397081392 5496351740 10992703480 21985406960