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682716400275 = 352713193518299
BaseRepresentation
bin10011110111101010001…
…00011000101010010011
32102021012200100120010210
421323311010120222103
542141200344302100
61241345141455203
7100216230436650
oct11736504305223
92367180316123
10682716400275
112435a1678388
12b0394411503
134c4c279b860
1425087ac0c27
1512b5ba60c50
hex9ef5118a93

682716400275 has 96 divisors (see below), whose sum is σ = 1396441177600. Its totient is φ = 286598062080.

The previous prime is 682716400243. The next prime is 682716400283. The reversal of 682716400275 is 572004617286.

682716400275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 682716400275 - 25 = 682716400243 is a prime.

It is a super-2 number, since 2×6827164002752 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1058076 + ... + 1576374.

Almost surely, 2682716400275 is an apocalyptic number.

682716400275 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

682716400275 is an abundant number, since it is smaller than the sum of its proper divisors (713724777325).

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

682716400275 is a wasteful number, since it uses less digits than its factorization.

682716400275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518525 (or 518520 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 682716400275 in words is "six hundred eighty-two billion, seven hundred sixteen million, four hundred thousand, two hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 193 195 273 325 455 525 579 965 975 1351 1365 2275 2509 2895 4053 4825 6755 6825 7527 12545 14475 17563 20265 33775 37635 52689 62725 87815 101325 188175 263445 439075 518299 1317225 1554897 2591495 3628093 6737887 7774485 10884279 12957475 18140465 20213661 33689435 38872425 47165209 54421395 90702325 100031707 101068305 141495627 168447175 235826045 272106975 300095121 500158535 505341525 700221949 707478135 1179130225 1300412191 1500475605 2100665847 2500792675 3501109745 3537390675 3901236573 6502060955 7502378025 9102885337 10503329235 17505548725 19506182865 27308656011 32510304775 45514426685 52516646175 97530914325 136543280055 227572133425 682716400275