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83416759216 = 2476119316323
BaseRepresentation
bin100110110110000000…
…1101011101110110000
321222022110100102111121
41031230001223232300
52331314142243331
6102153210352024
76012100516510
oct1155401535660
9258273312447
1083416759216
113241664992a
121420012b614
137b34c77c2b
144074869840
152283436c11
hex136c06bbb0

83416759216 has 80 divisors (see below), whose sum is σ = 187863475968. Its totient is φ = 35140204800.

The previous prime is 83416759199. The next prime is 83416759229. The reversal of 83416759216 is 61295761438.

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, 13189431 + ... + 13195753.

Almost surely, 283416759216 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 83416759216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93931737984).

83416759216 is an abundant number, since it is smaller than the sum of its proper divisors (104446716752).

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

83416759216 is a wasteful number, since it uses less digits than its factorization.

83416759216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330 (or 8324 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The spelling of 83416759216 in words is "eighty-three billion, four hundred sixteen million, seven hundred fifty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 854 976 1708 1931 3416 3862 6323 6832 7724 12646 13517 15448 25292 27034 30896 44261 50584 54068 88522 101168 108136 117791 177044 216272 235582 354088 385703 471164 708176 771406 824537 942328 1542812 1649074 1884656 2699921 3085624 3298148 5399842 6171248 6596296 10799684 12209713 13192592 21599368 24419426 43198736 48838852 85467991 97677704 170935982 195355408 341871964 683743928 744792493 1367487856 1489584986 2979169972 5213547451 5958339944 10427094902 11916679888 20854189804 41708379608 83416759216