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8133972860 = 22513672711723
BaseRepresentation
bin1111001001101001…
…01001001101111100
3202222212111122010002
413210310221031330
5113124244112420
63423043133432
7405365425406
oct74464511574
922885448102
108133972860
1134a4463222
1216b0074278
139c821ccc0
145723bdb76
15329161075
hex1e4d2937c

8133972860 has 96 divisors (see below), whose sum is σ = 18749617152. Its totient is φ = 2945859840.

The previous prime is 8133972853. The next prime is 8133972863. The reversal of 8133972860 is 682793318.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8133972863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4719959 + ... + 4721681.

It is an arithmetic number, because the mean of its divisors is an integer number (195308512).

Almost surely, 28133972860 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 8133972860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374808576).

8133972860 is an abundant number, since it is smaller than the sum of its proper divisors (10615644292).

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

8133972860 is a wasteful number, since it uses less digits than its factorization.

8133972860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 8133972860 is about 90188.5406246270. The cubic root of 8133972860 is about 2011.1026564587.

The spelling of 8133972860 in words is "eight billion, one hundred thirty-three million, nine hundred seventy-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 271 335 542 670 871 1084 1340 1355 1723 1742 2710 3446 3484 3523 4355 5420 6892 7046 8615 8710 14092 17230 17420 17615 18157 22399 34460 35230 36314 44798 70460 72628 89596 90785 111995 115441 181570 223990 230882 236041 363140 447980 461764 466933 472082 577205 933866 944164 1154410 1180205 1500733 1867732 2308820 2334665 2360410 3001466 4669330 4720820 6002932 6070129 7503665 9338660 12140258 15007330 24280516 30014660 30350645 31284511 60701290 62569022 121402580 125138044 156422555 312845110 406698643 625690220 813397286 1626794572 2033493215 4066986430 8133972860