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76197879490048 = 292357111332063
BaseRepresentation
bin10001010100110100110011…
…100010100010011000000000
3100222210110001020022221101121
4101110310303202202120000
534441411224122140143
6430020453402442024
722023054326042401
oct2124646342423000
9328713036287347
1076197879490048
1122308380552208
1286677ab803314
133369576c66544
1414b5dd5c6b9a8
158c2135b887ed
hex454d338a2600

76197879490048 has 80 divisors (see below), whose sum is σ = 159144605807616. Its totient is φ = 36378638714880.

The previous prime is 76197879490039. The next prime is 76197879490067. The reversal of 76197879490048 is 84009497879167.

76197879490048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×761978794900482 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76197879490048.

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 7 ways as a sum of consecutive naturals, for example, 1058065 + ... + 12390127.

Almost surely, 276197879490048 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 76197879490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79572302903808).

76197879490048 is an abundant number, since it is smaller than the sum of its proper divisors (82946726317568).

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

76197879490048 is a wasteful number, since it uses less digits than its factorization.

76197879490048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11332675 (or 11332659 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 79.

The spelling of 76197879490048 in words is "seventy-six trillion, one hundred ninety-seven billion, eight hundred seventy-nine million, four hundred ninety thousand, forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 571 736 1142 1472 2284 2944 4568 5888 9136 11776 13133 18272 26266 36544 52532 73088 105064 146176 210128 292352 420256 840512 1681024 3362048 6724096 11332063 22664126 45328252 90656504 181313008 260637449 362626016 521274898 725252032 1042549796 1450504064 2085099592 2901008128 4170199184 5802016256 6470607973 8340398368 12941215946 16680796736 25882431892 33361593472 51764863784 66723186944 103529727568 133446373888 148823983379 207059455136 297647966758 414118910272 595295933516 828237820544 1190591867032 1656475641088 2381183734064 3312951282176 4762367468128 9524734936256 19049469872512 38098939745024 76197879490048