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86780339648 = 2673791911231
BaseRepresentation
bin101000011010010000…
…0101110010111000000
322021222212112000102122
41100310200232113000
52410211231332043
6103511043503412
76161332500452
oct1206440562700
9267885460378
1086780339648
113389226a672
121499a687b68
13824ca8bb02
1442b34762d2
1523cd898368
hex143482e5c0

86780339648 has 112 divisors (see below), whose sum is σ = 177843240960. Its totient is φ = 41998694400.

The previous prime is 86780339627. The next prime is 86780339651. The reversal of 86780339648 is 84693308768.

It is a congruent number.

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, 70495193 + ... + 70496423.

It is an arithmetic number, because the mean of its divisors is an integer number (1587886080).

Almost surely, 286780339648 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 86780339648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88921620480).

86780339648 is an abundant number, since it is smaller than the sum of its proper divisors (91062901312).

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

86780339648 is a wasteful number, since it uses less digits than its factorization.

86780339648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 62.

The spelling of 86780339648 in words is "eighty-six billion, seven hundred eighty million, three hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 73 79 146 158 191 292 316 382 584 632 764 1168 1231 1264 1528 2336 2462 2528 3056 4672 4924 5056 5767 6112 9848 11534 12224 13943 15089 19696 23068 27886 30178 39392 46136 55772 60356 78784 89863 92272 97249 111544 120712 179726 184544 194498 223088 235121 241424 359452 369088 388996 446176 470242 482848 718904 777992 892352 940484 965696 1101497 1437808 1555984 1880968 2202994 2875616 3111968 3761936 4405988 5751232 6223936 7099177 7523872 8811976 14198354 15047744 17163833 17623952 18574559 28396708 34327666 35247904 37149118 56793416 68655332 70495808 74298236 113586832 137310664 148596472 227173664 274621328 297192944 454347328 549242656 594385888 1098485312 1188771776 1355942807 2711885614 5423771228 10847542456 21695084912 43390169824 86780339648