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21960153840 = 2435272933529
BaseRepresentation
bin10100011100111011…
…010101101011110000
32002200102220101211010
4110130323111223300
5324433244410330
614031030150520
71405123141062
oct243473255360
962612811733
1021960153840
119349a30679
12430a4b2440
1320bc810491
1410c476b732
15887dac3b0
hex51ced5af0

21960153840 has 80 divisors (see below), whose sum is σ = 68103453600. Its totient is φ = 5853720576.

The previous prime is 21960153833. The next prime is 21960153857. The reversal of 21960153840 is 4835106912.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638196 + ... + 671724.

It is an arithmetic number, because the mean of its divisors is an integer number (851293170).

Almost surely, 221960153840 is an apocalyptic number.

21960153840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21960153840 is an abundant number, since it is smaller than the sum of its proper divisors (46143299760).

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

21960153840 is a wasteful number, since it uses less digits than its factorization.

21960153840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36274 (or 36268 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 21960153840 in words is "twenty-one billion, nine hundred sixty million, one hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2729 5458 8187 10916 13645 16374 21832 27290 32748 33529 40935 43664 54580 65496 67058 81870 100587 109160 130992 134116 163740 167645 201174 218320 268232 327480 335290 402348 502935 536464 654960 670580 804696 1005870 1341160 1609392 2011740 2682320 4023480 8046960 91500641 183001282 274501923 366002564 457503205 549003846 732005128 915006410 1098007692 1372509615 1464010256 1830012820 2196015384 2745019230 3660025640 4392030768 5490038460 7320051280 10980076920 21960153840