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993402722004 = 22371129122330313
BaseRepresentation
bin11100111010010110110…
…10101001011011010100
310111222010221110222102120
432131023122221123110
5112233442044101004
62040210215535540
7131525305546260
oct16351332513324
93458127428376
10993402722004
11353332a36330
1214064068a5b0
13728a6548154
143611c19d0a0
151ac9249c3d9
hexe74b6a96d4

993402722004 has 192 divisors, whose sum is σ = 2992093655040. Its totient is φ = 248917294080.

The previous prime is 993402721951. The next prime is 993402722017. The reversal of 993402722004 is 400227204399.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32756352 + ... + 32786664.

It is an arithmetic number, because the mean of its divisors is an integer number (15583821120).

Almost surely, 2993402722004 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 993402722004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496046827520).

993402722004 is an abundant number, since it is smaller than the sum of its proper divisors (1998690933036).

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

993402722004 is a wasteful number, since it uses less digits than its factorization.

993402722004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31590 (or 31588 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 993402722004 in words is "nine hundred ninety-three billion, four hundred two million, seven hundred twenty-two thousand, four".