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677696976 = 243311178389
BaseRepresentation
bin101000011001001…
…101010111010000
31202020012120111000
4220121031113100
52341442300401
6151125222000
722536220635
oct5031152720
91666176430
10677696976
113185a6850
1216ab61900
13aa530938
146601018c
153e769186
hex2864d5d0

677696976 has 160 divisors (see below), whose sum is σ = 2247177600. Its totient is φ = 193259520.

The previous prime is 677696963. The next prime is 677696977. The reversal of 677696976 is 679696776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677696977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76590 + ... + 84978.

It is an arithmetic number, because the mean of its divisors is an integer number (14044860).

Almost surely, 2677696976 is an apocalyptic number.

677696976 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677696976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123588800).

677696976 is an abundant number, since it is smaller than the sum of its proper divisors (1569480624).

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

677696976 is a wasteful number, since it uses less digits than its factorization.

677696976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434 (or 8422 counting only the distinct ones).

The product of its digits is 36006768, while the sum is 63.

The square root of 677696976 is about 26032.6136989738. The cubic root of 677696976 is about 878.3720660590.

The spelling of 677696976 in words is "six hundred seventy-seven million, six hundred ninety-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3366 3672 4488 4752 5049 6732 7344 8389 8976 10098 13464 16778 20196 25167 26928 33556 40392 50334 67112 75501 80784 92279 100668 134224 142613 151002 184558 201336 226503 276837 285226 302004 369116 402672 427839 453006 553674 570452 604008 738232 830511 855678 906012 1107348 1140904 1208016 1283517 1476464 1568743 1661022 1711356 1812024 2214696 2281808 2491533 2567034 3137486 3322044 3422712 3624048 3850551 4429392 4706229 4983066 5134068 6274972 6644088 6845424 7701102 9412458 9966132 10268136 12549944 13288176 14118687 15402204 18824916 19932264 20536272 25099888 28237374 30804408 37649832 39864528 42356061 56474748 61608816 75299664 84712122 112949496 169424244 225898992 338848488 677696976