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76619763480 = 2335131392291543
BaseRepresentation
bin100011101011011100…
…1001100111100011000
321022202202121021012210
41013112321030330120
52223404124412410
655110523235120
75351465146431
oct1072671147430
9238682537183
1076619763480
112a54894a387
1212a23978aa0
1372c0a3b870
1439cbc74488
151ed686c220
hex11d6e4cf18

76619763480 has 256 divisors, whose sum is σ = 250572672000. Its totient is φ = 18630715392.

The previous prime is 76619763457. The next prime is 76619763511. The reversal of 76619763480 is 8436791667.

It is a super-2 number, since 2×766197634802 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76619763480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49655589 + ... + 49657131.

It is an arithmetic number, because the mean of its divisors is an integer number (978799500).

Almost surely, 276619763480 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 76619763480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125286336000).

76619763480 is an abundant number, since it is smaller than the sum of its proper divisors (173952908520).

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

76619763480 is a wasteful number, since it uses less digits than its factorization.

76619763480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 76619763480 in words is "seventy-six billion, six hundred nineteen million, seven hundred sixty-three thousand, four hundred eighty".