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76673000704 = 2817293531721
BaseRepresentation
bin100011101101000010…
…0010010010100000000
321022220110202222221211
41013122010102110000
52224011242010304
655120104255504
75353012516126
oct1073204222400
9238813688854
1076673000704
112a575a01293
1212a39771594
1372cba8b591
1439d4d71916
151edb386204
hex11da112500

76673000704 has 144 divisors (see below), whose sum is σ = 168209712720. Its totient is φ = 34718351360.

The previous prime is 76673000699. The next prime is 76673000737. The reversal of 76673000704 is 40700037667.

It can be written as a sum of positive squares in 8 ways, for example, as 4230201600 + 72442799104 = 65040^2 + 269152^2 .

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, 44550564 + ... + 44552284.

It is an arithmetic number, because the mean of its divisors is an integer number (1168123005).

Almost surely, 276673000704 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 76673000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84104856360).

76673000704 is an abundant number, since it is smaller than the sum of its proper divisors (91536712016).

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

76673000704 is a wasteful number, since it uses less digits than its factorization.

76673000704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 40.

The spelling of 76673000704 in words is "seventy-six billion, six hundred seventy-three million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 256 272 353 464 493 544 706 928 986 1088 1412 1721 1856 1972 2176 2824 3442 3712 3944 4352 5648 6001 6884 7424 7888 10237 11296 12002 13768 15776 20474 22592 24004 27536 29257 31552 40948 45184 48008 49909 55072 58514 63104 81896 90368 96016 99818 110144 117028 126208 163792 174029 192032 199636 220288 234056 327584 348058 384064 399272 440576 468112 607513 655168 696116 768128 798544 848453 936224 1215026 1310336 1392232 1536256 1597088 1696906 1872448 2430052 2620672 2784464 3194176 3393812 3744896 4860104 5568928 6388352 6787624 7489792 9720208 10327721 11137856 12776704 13575248 17617877 19440416 20655442 22275712 27150496 35235754 38880832 41310884 44551424 54300992 70471508 77761664 82621768 108601984 140943016 155523328 165243536 217203968 281886032 299503909 330487072 563772064 599007818 660974144 1127544128 1198015636 1321948288 2255088256 2396031272 2643896576 4510176512 4792062544 9584125088 19168250176 38336500352 76673000704