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82961056332 = 22357111108453
BaseRepresentation
bin100110101000011011…
…1010100001001001100
321221010200212022200000
41031100313110021030
52324401012300312
6102040051204300
75664565225620
oct1152067241114
9257120768600
1082961056332
1132202398580
12140b35a6690
137a9173255b
144030125180
15225841dadc
hex1350dd424c

82961056332 has 144 divisors (see below), whose sum is σ = 271136716032. Its totient is φ = 21548306880.

The previous prime is 82961056303. The next prime is 82961056357. The reversal of 82961056332 is 23365016928.

82961056332 is a `hidden beast` number, since 8 + 2 + 9 + 6 + 1 + 0 + 5 + 633 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479383 + ... + 629070.

Almost surely, 282961056332 is an apocalyptic number.

It is an amenable number.

82961056332 is an abundant number, since it is smaller than the sum of its proper divisors (188175659700).

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

82961056332 is a wasteful number, since it uses less digits than its factorization.

82961056332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108490 (or 1108476 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 82961056332 in words is "eighty-two billion, nine hundred sixty-one million, fifty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 462 486 567 594 693 756 891 924 972 1134 1188 1386 1701 1782 2079 2268 2673 2772 3402 3564 4158 5346 6237 6804 8316 10692 12474 18711 24948 37422 74844 1108453 2216906 3325359 4433812 6650718 7759171 9976077 12192983 13301436 15518342 19952154 23277513 24385966 29928231 31036684 36578949 39904308 46555026 48771932 59856462 69832539 73157898 85350881 89784693 93110052 109736847 119712924 139665078 146315796 170701762 179569386 209497617 219473694 256052643 269354079 279330156 329210541 341403524 359138772 418995234 438947388 512105286 538708158 628492851 658421082 768157929 837990468 987631623 1024210572 1077416316 1256985702 1316842164 1536315858 1885478553 1975263246 2304473787 2513971404 2962894869 3072631716 3770957106 3950526492 4608947574 5925789738 6913421361 7541914212 9217895148 11851579476 13826842722 20740264083 27653685444 41480528166 82961056332