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74056575340 = 225116722722133
BaseRepresentation
bin100010011111000011…
…1011010100101101100
321002011010111211002201
41010332013122211230
52203131440402330
654004321231244
75231122334626
oct1047607324554
9232133454081
1074056575340
1129453008180
1212429492524
136ca29b72a7
143827695c16
151dd680deca
hex113e1da96c

74056575340 has 96 divisors (see below), whose sum is σ = 172955430144. Its totient is φ = 26409672960.

The previous prime is 74056575283. The next prime is 74056575401. The reversal of 74056575340 is 4357565047.

It is a super-2 number, since 2×740565753402 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3334914 + ... + 3357046.

It is an arithmetic number, because the mean of its divisors is an integer number (1801619064).

Almost surely, 274056575340 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 74056575340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86477715072).

74056575340 is an abundant number, since it is smaller than the sum of its proper divisors (98898854804).

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

74056575340 is a wasteful number, since it uses less digits than its factorization.

74056575340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22447 (or 22445 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 46.

The spelling of 74056575340 in words is "seventy-four billion, fifty-six million, five hundred seventy-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 227 268 335 454 670 737 908 1135 1340 1474 2270 2497 2948 3685 4540 4994 7370 9988 12485 14740 15209 22133 24970 30418 44266 49940 60836 76045 88532 110665 152090 167299 221330 243463 304180 334598 442660 486926 669196 836495 973852 1217315 1482911 1672990 2434630 2965822 3345980 4869260 5024191 5931644 7414555 10048382 14829110 16312021 20096764 25120955 29658220 32624042 50241910 55266101 65248084 81560105 100483820 110532202 163120210 221064404 276330505 326240420 336620797 552661010 673241594 1105322020 1346483188 1683103985 3366207970 3702828767 6732415940 7405657534 14811315068 18514143835 37028287670 74056575340