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83001576140 = 225723193133559
BaseRepresentation
bin100110101001101000…
…1111000101011001100
321221020112002221101122
41031103101320223030
52324441400414030
6102044055500112
75665566520310
oct1152321705314
9257215087348
1083001576140
113222325371a
1214105087638
137a99c4b882
144035671b40
15225bc748e5
hex1353478acc

83001576140 has 96 divisors (see below), whose sum is σ = 208943400960. Its totient is φ = 27079151616.

The previous prime is 83001576139. The next prime is 83001576149. The reversal of 83001576140 is 4167510038.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 83001576140.

It is not an unprimeable number, because it can be changed into a prime (83001576149) 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, 554681 + ... + 688239.

It is an arithmetic number, because the mean of its divisors is an integer number (2176493760).

Almost surely, 283001576140 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 83001576140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104471700480).

83001576140 is an abundant number, since it is smaller than the sum of its proper divisors (125941824820).

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

83001576140 is a wasteful number, since it uses less digits than its factorization.

83001576140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133791 (or 133789 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 83001576140 in words is "eighty-three billion, one million, five hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 193 230 322 386 460 644 772 805 965 1351 1610 1930 2702 3220 3860 4439 5404 6755 8878 13510 17756 22195 27020 31073 44390 62146 88780 124292 133559 155365 267118 310730 534236 621460 667795 934913 1335590 1869826 2671180 3071857 3739652 4674565 6143714 9349130 12287428 15359285 18698260 21502999 25776887 30718570 43005998 51553774 61437140 86011996 103107548 107514995 128884435 180438209 215029990 257768870 360876418 430059980 515537740 592868401 721752836 902191045 1185736802 1804382090 2371473604 2964342005 3608764180 4150078807 5928684010 8300157614 11857368020 16600315228 20750394035 41500788070 83001576140