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74648770560 = 2113457132343
BaseRepresentation
bin100010110000101101…
…0011101100000000000
321010200101211110020000
41011201122131200000
52210340041124220
654143154120000
75251603036410
oct1054132354000
9233611743200
1074648770560
1129727315211
1212573880000
1370685ac570
1438821aa640
151e1d7d9390
hex116169d800

74648770560 has 1920 divisors, whose sum is σ = 351619107840. Its totient is φ = 14714929152.

The previous prime is 74648770523. The next prime is 74648770579. The reversal of 74648770560 is 6507784647.

74648770560 is a `hidden beast` number, since 7 + 4 + 6 + 4 + 8 + 7 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×746487705602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 74648770497 and 74648770506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1736017899 + ... + 1736017941.

It is an arithmetic number, because the mean of its divisors is an integer number (183134952).

Almost surely, 274648770560 is an apocalyptic number.

74648770560 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 74648770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175809553920).

74648770560 is an abundant number, since it is smaller than the sum of its proper divisors (276970337280).

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

74648770560 is a wasteful number, since it uses less digits than its factorization.

74648770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 74648770560 in words is "seventy-four billion, six hundred forty-eight million, seven hundred seventy thousand, five hundred sixty".