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83502797952 = 2737163190583
BaseRepresentation
bin100110111000100100…
…1111001010010000000
321222112110020122110110
41031301021321102000
52332003204013302
6102205522431320
76014164033350
oct1156111712200
9258473218413
1083502797952
1132460175022
1214224b02540
137b49a40b22
144082064b60
15228ac7eb6c
hex1371279480

83502797952 has 128 divisors (see below), whose sum is σ = 255047132160. Its totient is φ = 23711450112.

The previous prime is 83502797927. The next prime is 83502797971. The reversal of 83502797952 is 25979720538.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 83502797892 and 83502797901.

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, 342853 + ... + 533435.

It is an arithmetic number, because the mean of its divisors is an integer number (1992555720).

Almost surely, 283502797952 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 83502797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127523566080).

83502797952 is an abundant number, since it is smaller than the sum of its proper divisors (171544334208).

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

83502797952 is a wasteful number, since it uses less digits than its factorization.

83502797952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190770 (or 190758 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 57.

The spelling of 83502797952 in words is "eighty-three billion, five hundred two million, seven hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 163 168 192 224 326 336 384 448 489 652 672 896 978 1141 1304 1344 1956 2282 2608 2688 3423 3912 4564 5216 6846 7824 9128 10432 13692 15648 18256 20864 27384 31296 36512 54768 62592 73024 109536 146048 190583 219072 381166 438144 571749 762332 1143498 1334081 1524664 2286996 2668162 3049328 4002243 4573992 5336324 6098656 8004486 9147984 10672648 12197312 16008972 18295968 21345296 24394624 31065029 32017944 36591936 42690592 62130058 64035888 73183872 85381184 93195087 124260116 128071776 170762368 186390174 217455203 248520232 256143552 372780348 434910406 497040464 512287104 652365609 745560696 869820812 994080928 1304731218 1491121392 1739641624 1988161856 2609462436 2982242784 3479283248 3976323712 5218924872 5964485568 6958566496 10437849744 11928971136 13917132992 20875699488 27834265984 41751398976 83502797952