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83290023648 = 25321323967229
BaseRepresentation
bin100110110010001111…
…0001110011011100000
321221222121212120222200
41031210132032123200
52331034221224043
6102132442133200
76006001343166
oct1154436163340
9257877776880
1083290023648
1132361057597
12141857b1200
137b14933280
144061ab9236
1522772507d3
hex136478e6e0

83290023648 has 144 divisors (see below), whose sum is σ = 266166220320. Its totient is φ = 24513426432.

The previous prime is 83290023643. The next prime is 83290023659. The reversal of 83290023648 is 84632009238.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83290023643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397503 + ... + 569726.

It is an arithmetic number, because the mean of its divisors is an integer number (1848376530).

Almost surely, 283290023648 is an apocalyptic number.

It is an amenable number.

83290023648 is an abundant number, since it is smaller than the sum of its proper divisors (182876196672).

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

83290023648 is a wasteful number, since it uses less digits than its factorization.

83290023648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967281 (or 967270 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 83290023648 in words is "eighty-three billion, two hundred ninety million, twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 368 414 416 468 552 598 624 736 828 897 936 1104 1196 1248 1656 1794 1872 2208 2392 2691 3312 3588 3744 4784 5382 6624 7176 9568 10764 14352 21528 28704 43056 86112 967229 1934458 2901687 3868916 5803374 7737832 8705061 11606748 12573977 15475664 17410122 22246267 23213496 25147954 30951328 34820244 37721931 44492534 46426992 50295908 66738801 69640488 75443862 88985068 92853984 100591816 113165793 133477602 139280976 150887724 177970136 200216403 201183632 226331586 266955204 278561952 289201471 301775448 355940272 400432806 402367264 452663172 533910408 578402942 603550896 711880544 800865612 867604413 905326344 1067820816 1156805884 1207101792 1601731224 1735208826 1810652688 2135641632 2313611768 2602813239 3203462448 3470417652 3621305376 4627223536 5205626478 6406924896 6940835304 9254447072 10411252956 13881670608 20822505912 27763341216 41645011824 83290023648