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4993654235904 = 283213133075003
BaseRepresentation
bin100100010101010110011…
…1111001010001100000000
3122200101111100102220120100
41020222230333022030000
51123304000441022104
614342015244442400
71023531256441155
oct110525477121400
918611440386510
104993654235904
1116558846a5024
12687978849400
132a2b90496379
141339a0a9022c
1589d6a58a139
hex48aacfca300

4993654235904 has 216 divisors, whose sum is σ = 14515131863232. Its totient is φ = 1651015342080.

The previous prime is 4993654235893. The next prime is 4993654235917. The reversal of 4993654235904 is 4095324563994.

4993654235904 is a `hidden beast` number, since 4 + 9 + 9 + 36 + 5 + 4 + 2 + 3 + 590 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998129467 + ... + 998134469.

It is an arithmetic number, because the mean of its divisors is an integer number (67199684552).

Almost surely, 24993654235904 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 4993654235904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257565931616).

4993654235904 is an abundant number, since it is smaller than the sum of its proper divisors (9521477627328).

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

4993654235904 is a wasteful number, since it uses less digits than its factorization.

4993654235904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8463 (or 8446 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 4993654235904 in words is "four trillion, nine hundred ninety-three billion, six hundred fifty-four million, two hundred thirty-five thousand, nine hundred four".