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7681434096 = 2437474011213
BaseRepresentation
bin1110010011101100…
…10110000111110000
3201211022222021122010
413021312112013300
5111212421342341
63310115442520
7361232053410
oct71166260760
921738867563
107681434096
113291a73146
1215a45b6440
1395554489b
1452c260640
152ee570716
hex1c9d961f0

7681434096 has 160 divisors (see below), whose sum is σ = 23237941248. Its totient is φ = 2140876800.

The previous prime is 7681434067. The next prime is 7681434113. The reversal of 7681434096 is 6904341867.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6331986 + ... + 6333198.

Almost surely, 27681434096 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 7681434096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11618970624).

7681434096 is an abundant number, since it is smaller than the sum of its proper divisors (15556507152).

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

7681434096 is a wasteful number, since it uses less digits than its factorization.

7681434096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 7681434096 is about 87643.7909723216. The cubic root of 7681434096 is about 1973.0924568516.

The spelling of 7681434096 in words is "seven billion, six hundred eighty-one million, four hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 401 564 658 752 802 987 1128 1203 1213 1316 1604 1974 2256 2406 2426 2632 2807 3208 3639 3948 4812 4852 5264 5614 6416 7278 7896 8421 8491 9624 9704 11228 14556 15792 16842 16982 18847 19248 19408 22456 25473 29112 33684 33964 37694 44912 50946 56541 57011 58224 67368 67928 75388 101892 113082 114022 131929 134736 135856 150776 171033 203784 226164 228044 263858 301552 342066 395787 399077 407568 452328 456088 486413 527716 684132 791574 798154 904656 912176 972826 1055432 1197231 1368264 1459239 1583148 1596308 1945652 2110864 2394462 2736528 2918478 3166296 3192616 3404891 3891304 4788924 5836956 6332592 6385232 6809782 7782608 9577848 10214673 11673912 13619564 19155696 20429346 22861411 23347824 27239128 40858692 45722822 54478256 68584233 81717384 91445644 137168466 160029877 163434768 182891288 274336932 320059754 365782576 480089631 548673864 640119508 960179262 1097347728 1280239016 1920358524 2560478032 3840717048 7681434096