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74465239680 = 2733513243593
BaseRepresentation
bin100010101011001111…
…0010110001010000000
321010012121111010012000
41011112132112022000
52210001100132210
654113040304000
75244214044066
oct1052636261200
9233177433160
1074465239680
11296427607a7
1212522312000
137039570500
143865a74036
151e0c634ac0
hex1156796280

74465239680 has 768 divisors, whose sum is σ = 292712745600. Its totient is φ = 17873436672.

The previous prime is 74465239663. The next prime is 74465239687. The reversal of 74465239680 is 8693256447.

74465239680 is a `hidden beast` number, since 74 + 46 + 523 + 9 + 6 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (74465239687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125573464 + ... + 125574056.

Almost surely, 274465239680 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 74465239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146356372800).

74465239680 is an abundant number, since it is smaller than the sum of its proper divisors (218247505920).

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

74465239680 is a wasteful number, since it uses less digits than its factorization.

74465239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 74465239680 in words is "seventy-four billion, four hundred sixty-five million, two hundred thirty-nine thousand, six hundred eighty".