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76330605540 = 223572172322887
BaseRepresentation
bin100011100010110101…
…0001001101111100100
321022000121111112002110
41013011222021233210
52222311113334130
655022113441020
75341354304400
oct1070552115744
9238017445073
1076330605540
112a40a700782
1212962b70170
137275b689a7
1439a16c4100
151ebb2a0ab0
hex11c5a89be4

76330605540 has 432 divisors, whose sum is σ = 275282727552. Its totient is φ = 15701317632.

The previous prime is 76330605493. The next prime is 76330605551. The reversal of 76330605540 is 4550603367.

It is a super-2 number, since 2×763306055402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26437977 + ... + 26440863.

It is an arithmetic number, because the mean of its divisors is an integer number (637228536).

Almost surely, 276330605540 is an apocalyptic number.

76330605540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76330605540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137641363776).

76330605540 is an abundant number, since it is smaller than the sum of its proper divisors (198952122012).

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

76330605540 is a wasteful number, since it uses less digits than its factorization.

76330605540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The spelling of 76330605540 in words is "seventy-six billion, three hundred thirty million, six hundred five thousand, five hundred forty".