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76896974336 = 297136072719
BaseRepresentation
bin100011110011101101…
…0101011011000000000
321100111002020001000112
41013213122223120000
52224441111134321
655154225010452
75361402332360
oct1074732533000
9240432201015
1076896974336
112a680378a66
1212aa0783a28
1373362ba860
143a169d49a0
152000d78a5b
hex11e76ab600

76896974336 has 160 divisors (see below), whose sum is σ = 189481205760. Its totient is φ = 30359494656.

The previous prime is 76896974321. The next prime is 76896974359. The reversal of 76896974336 is 63347969867.

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 15 ways as a sum of consecutive naturals, for example, 28279985 + ... + 28282703.

It is an arithmetic number, because the mean of its divisors is an integer number (1184257536).

Almost surely, 276896974336 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 76896974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94740602880).

76896974336 is an abundant number, since it is smaller than the sum of its proper divisors (112584231424).

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

76896974336 is a wasteful number, since it uses less digits than its factorization.

76896974336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3348 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 68.

The spelling of 76896974336 in words is "seventy-six billion, eight hundred ninety-six million, nine hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 607 728 832 896 1214 1456 1664 1792 2428 2719 2912 3328 3584 4249 4856 5438 5824 6656 7891 8498 9712 10876 11648 15782 16996 19033 19424 21752 23296 31564 33992 35347 38066 38848 43504 46592 55237 63128 67984 70694 76132 77696 87008 110474 126256 135968 141388 152264 155392 174016 220948 247429 252512 271936 282776 304528 310784 348032 441896 494858 505024 543872 565552 609056 696064 883792 989716 1010048 1087744 1131104 1218112 1392128 1650433 1767584 1979432 2020096 2175488 2262208 2436224 3300866 3535168 3958864 4040192 4524416 4872448 6601732 7070336 7917728 9048832 9744896 11553031 13203464 14140672 15835456 18097664 21455629 23106062 26406928 28281344 31670912 42911258 46212124 52813856 63341824 85822516 92424248 105627712 126683648 150189403 171645032 184848496 211255424 300378806 343290064 369696992 422510848 600757612 686580128 739393984 845021696 1201515224 1373160256 1478787968 2403030448 2746320512 2957575936 4806060896 5492641024 5915151872 9612121792 10985282048 19224243584 38448487168 76896974336