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1076697738688 = 261113563208963
BaseRepresentation
bin11111010101100000010…
…11111010110111000000
310210221010220202020120111
433222300023322313000
5120120034110114223
62142343401121104
7140534400526435
oct17526013726700
93727126666514
101076697738688
113856968931a0
12154807a89194
137a6bc208c80
143a1807b7b8c
151d019d8730d
hexfab02fadc0

1076697738688 has 112 divisors (see below), whose sum is σ = 2514569129856. Its totient is φ = 450956712960.

The previous prime is 1076697738679. The next prime is 1076697738707. The reversal of 1076697738688 is 8868377966701.

It is a super-2 number, since 2×10766977386882 (a number of 25 digits) contains 22 as substring.

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, 5048095 + ... + 5257057.

It is an arithmetic number, because the mean of its divisors is an integer number (22451510088).

Almost surely, 21076697738688 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 1076697738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257284564928).

1076697738688 is an abundant number, since it is smaller than the sum of its proper divisors (1437871391168).

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

1076697738688 is a wasteful number, since it uses less digits than its factorization.

1076697738688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209562 (or 209552 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 76.

The spelling of 1076697738688 in words is "one trillion, seventy-six billion, six hundred ninety-seven million, seven hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 563 572 704 832 1126 1144 2252 2288 4504 4576 6193 7319 9008 9152 12386 14638 18016 24772 29276 36032 49544 58552 80509 99088 117104 161018 198176 208963 234208 322036 396352 417926 468416 644072 835852 1288144 1671704 2298593 2576288 2716519 3343408 4597186 5152576 5433038 6686816 9194372 10866076 13373632 18388744 21732152 29881709 36777488 43464304 59763418 73554976 86928608 117646169 119526836 147109952 173857216 235292338 239053672 470584676 478107344 941169352 956214688 1294107859 1529400197 1882338704 1912429376 2588215718 3058800394 3764677408 5176431436 6117600788 7529354816 10352862872 12235201576 16823402167 20705725744 24470403152 33646804334 41411451488 48940806304 67293608668 82822902976 97881612608 134587217336 269174434672 538348869344 1076697738688