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74711239680 = 21035711181349
BaseRepresentation
bin100010110010100100…
…0110000110000000000
321010211202101012202010
41011211020300300000
52211002034132210
654153305052520
75253262026210
oct1054510606000
9233752335663
1074711239680
1129759602190
1212590787140
13707851233c
14388a5cc240
151e24028920
hex1165230c00

74711239680 has 704 divisors, whose sum is σ = 300427545600. Its totient is φ = 15394406400.

The previous prime is 74711239679. The next prime is 74711239697. The reversal of 74711239680 is 8693211747.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214072146 + ... + 214072494.

Almost surely, 274711239680 is an apocalyptic number.

74711239680 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 74711239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150213772800).

74711239680 is an abundant number, since it is smaller than the sum of its proper divisors (225716305920).

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

74711239680 is a wasteful number, since it uses less digits than its factorization.

74711239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 74711239680 in words is "seventy-four billion, seven hundred eleven million, two hundred thirty-nine thousand, six hundred eighty".