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93745292004 = 223471329109639
BaseRepresentation
bin101011101001110100…
…1111010001011100100
322221222021022020220000
41113103221322023210
53013442243321004
6111022130541300
76526044556140
oct1272351721344
9287867266800
1093745292004
1136836856441
1216203137830
138abca433b0
1447744ac220
15268a08cc39
hex15d3a7a2e4

93745292004 has 240 divisors, whose sum is σ = 312026668800. Its totient is φ = 23871262464.

The previous prime is 93745291999. The next prime is 93745292009. The reversal of 93745292004 is 40029254739.

It is an interprime number because it is at equal distance from previous prime (93745291999) and next prime (93745292009).

It is not an unprimeable number, because it can be changed into a prime (93745292009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 800217 + ... + 909855.

It is an arithmetic number, because the mean of its divisors is an integer number (1300111120).

Almost surely, 293745292004 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 93745292004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156013334400).

93745292004 is an abundant number, since it is smaller than the sum of its proper divisors (218281376796).

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

93745292004 is a wasteful number, since it uses less digits than its factorization.

93745292004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109704 (or 109693 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 93745292004 in words is "ninety-three billion, seven hundred forty-five million, two hundred ninety-two thousand, four".