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76665253282004 = 22537913121571699
BaseRepresentation
bin10001011011101000000101…
…001100000100000011010100
3101001110010102022120120002102
4101123220011030010003110
540022040414320011004
6431015310421101232
722101611305526012
oct2133500514040324
9331403368516072
1076665253282004
1122478607900702
1287222a6257818
1333a166b90126a
1414d0891d418b2
158ce38c33711e
hex45ba053040d4

76665253282004 has 144 divisors (see below), whose sum is σ = 140461769952000. Its totient is φ = 36593577895680.

The previous prime is 76665253282001. The next prime is 76665253282139. The reversal of 76665253282004 is 40028235256667.

It is a super-2 number, since 2×766652532820042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76665253282001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 45123750347 + ... + 45123752045.

It is an arithmetic number, because the mean of its divisors is an integer number (975428958000).

Almost surely, 276665253282004 is an apocalyptic number.

It is an amenable number.

76665253282004 is a deficient number, since it is larger than the sum of its proper divisors (63796516669996).

76665253282004 is a wasteful number, since it uses less digits than its factorization.

76665253282004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 56.

The spelling of 76665253282004 in words is "seventy-six trillion, six hundred sixty-five billion, two hundred fifty-three million, two hundred eighty-two thousand, four".

Divisors: 1 2 4 53 79 106 131 157 158 212 262 314 316 524 628 1699 3398 4187 6796 6943 8321 8374 10349 12403 13886 16642 16748 17161 20567 20698 24806 27772 33284 34322 41134 41396 49612 68644 82268 90047 134221 180094 222569 266743 268442 360188 445138 533486 536884 548497 657359 890276 909533 1066972 1090051 1096994 1314718 1355719 1624793 1819066 2180102 2193988 2629436 2694277 2711438 3249586 3638132 4360204 5388554 5422876 6499172 7113713 10777108 11796157 14137379 14227426 17582951 21072697 23592314 28274758 28454852 29156539 34943333 35165902 42145394 47184628 56549516 58313078 69886666 70331804 71853107 84290788 86114029 116626156 139773332 142796681 143706214 172228058 212847883 285593362 287412428 344456116 425695766 571186724 851391532 931896403 1116852941 1545296567 1851996649 1863792806 2233705882 2303366581 2760523307 3090593134 3703993298 3727585612 4467411764 4577576623 4606733162 5521046614 6181186268 7407986596 9155153246 9213466324 11042093228 11280937799 18310306492 22561875598 45123751196 122078428793 146307735271 242611561019 244156857586 292615470542 361628553217 485223122038 488313715172 585230941084 723257106434 970446244076 1446514212868 19166313320501 38332626641002 76665253282004