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76445412415350 = 23521189967538333
BaseRepresentation
bin10001011000011011010101…
…101001101101011101110110
3101000200002222020012102020220
4101120123111221231131312
540004440201034242400
6430330312044235210
722046666404144506
oct2130332551553566
9330602866172226
1076445412415350
11223a3354420750
1286a7771b3bb06
133386a04b83604
1414c3d98b5da06
158c87c20cc7a0
hex4586d5a6d776

76445412415350 has 192 divisors, whose sum is σ = 209360073669120. Its totient is φ = 18305010662400.

The previous prime is 76445412415349. The next prime is 76445412415363. The reversal of 76445412415350 is 5351421454467.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76445412415293 and 76445412415302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141734784 + ... + 142273116.

It is an arithmetic number, because the mean of its divisors is an integer number (1090417050360).

Almost surely, 276445412415350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76445412415350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104680036834560).

76445412415350 is an abundant number, since it is smaller than the sum of its proper divisors (132914661253770).

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

76445412415350 is a wasteful number, since it uses less digits than its factorization.

76445412415350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539415 (or 539410 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 51.

The spelling of 76445412415350 in words is "seventy-six trillion, four hundred forty-five billion, four hundred twelve million, four hundred fifteen thousand, three hundred fifty".