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74339634672 = 24325986310139
BaseRepresentation
bin100010100111011111…
…1001100110111110000
321002212212010201111200
41011032333030313300
52204221421302142
654052352211200
75241130316532
oct1051677146760
9232785121450
1074339634672
1129588870906
12124a8239b00
137019533314
1438530d9852
151e015c364c
hex114efccdf0

74339634672 has 120 divisors (see below), whose sum is σ = 211840012800. Its totient is φ = 24329253504.

The previous prime is 74339634647. The next prime is 74339634689. The reversal of 74339634672 is 27643693347.

It is a congruent number.

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, 7326979 + ... + 7337117.

It is an arithmetic number, because the mean of its divisors is an integer number (1765333440).

Almost surely, 274339634672 is an apocalyptic number.

74339634672 is a gapful number since it is divisible by the number (72) 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 74339634672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105920006400).

74339634672 is an abundant number, since it is smaller than the sum of its proper divisors (137500378128).

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

74339634672 is a wasteful number, since it uses less digits than its factorization.

74339634672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11075 (or 11066 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 54.

The spelling of 74339634672 in words is "seventy-four billion, three hundred thirty-nine million, six hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 863 944 1062 1416 1726 2124 2589 2832 3452 4248 5178 6904 7767 8496 10139 10356 13808 15534 20278 20712 30417 31068 40556 41424 50917 60834 62136 81112 91251 101834 121668 124272 152751 162224 182502 203668 243336 305502 365004 407336 458253 486672 598201 611004 730008 814672 916506 1196402 1222008 1460016 1794603 1833012 2392804 2444016 3589206 3666024 4785608 5383809 7178412 7332048 8749957 9571216 10767618 14356824 17499914 21535236 26249871 28713648 34999828 43070472 52499742 69999656 78749613 86140944 104999484 139999312 157499226 209998968 314998452 419997936 516247463 629996904 1032494926 1259993808 1548742389 2064989852 3097484778 4129979704 4646227167 6194969556 8259959408 9292454334 12389939112 18584908668 24779878224 37169817336 74339634672