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74949534768 = 2433159984089
BaseRepresentation
bin100010111001101010…
…1110010010000110000
321011110100202212011010
41011303111302100300
52211444040103033
654233100350520
75262214351113
oct1056325622060
9234410685133
1074949534768
1129871070879
1212638545440
1370b59b7154
1438b00dc57a
151e39de9863
hex1173572430

74949534768 has 80 divisors (see below), whose sum is σ = 200201472000. Its totient is φ = 24136619520.

The previous prime is 74949534757. The next prime is 74949534773. The reversal of 74949534768 is 86743594947.

It is a junction number, because it is equal to n+sod(n) for n = 74949534699 and 74949534708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849268 + ... + 933356.

It is an arithmetic number, because the mean of its divisors is an integer number (2502518400).

Almost surely, 274949534768 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 74949534768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100100736000).

74949534768 is an abundant number, since it is smaller than the sum of its proper divisors (125251937232).

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

74949534768 is a wasteful number, since it uses less digits than its factorization.

74949534768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84730 (or 84724 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 66.

The spelling of 74949534768 in words is "seventy-four billion, nine hundred forty-nine million, five hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 599 744 1198 1488 1797 2396 3594 4792 7188 9584 14376 18569 28752 37138 55707 74276 84089 111414 148552 168178 222828 252267 297104 336356 445656 504534 672712 891312 1009068 1345424 2018136 2606759 4036272 5213518 7820277 10427036 15640554 20854072 31281108 41708144 50369311 62562216 100738622 125124432 151107933 201477244 302215866 402954488 604431732 805908976 1208863464 1561448641 2417726928 3122897282 4684345923 6245794564 9368691846 12491589128 18737383692 24983178256 37474767384 74949534768