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74271755064 = 233131076533407
BaseRepresentation
bin100010100101011110…
…0010000101100111000
321002201010102002012010
41011022330100230320
52204102032130224
654041525245520
75236344334023
oct1051274205470
9232633362163
1074271755064
1129553518961
12124895638a0
137008457980
1438480aa1ba
151dea665e29
hex114af10b38

74271755064 has 128 divisors (see below), whose sum is σ = 202199639040. Its totient is φ = 22597965312.

The previous prime is 74271755059. The next prime is 74271755069. The reversal of 74271755064 is 46055717247.

It is an interprime number because it is at equal distance from previous prime (74271755059) and next prime (74271755069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74271755069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21798049 + ... + 21801455.

It is an arithmetic number, because the mean of its divisors is an integer number (1579684680).

Almost surely, 274271755064 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 74271755064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101099819520).

74271755064 is an abundant number, since it is smaller than the sum of its proper divisors (127927883976).

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

74271755064 is a wasteful number, since it uses less digits than its factorization.

74271755064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 74271755064 in words is "seventy-four billion, two hundred seventy-one million, seven hundred fifty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 214 312 321 428 642 653 856 1284 1306 1391 1959 2568 2612 2782 3407 3918 4173 5224 5564 6814 7836 8346 8489 10221 11128 13628 15672 16692 16978 20442 25467 27256 33384 33956 40884 44291 50934 67912 69871 81768 88582 101868 132873 139742 177164 203736 209613 265746 279484 354328 364549 419226 531492 558968 729098 838452 908323 1062984 1093647 1458196 1676904 1816646 2187294 2224771 2724969 2916392 3633292 4374588 4449542 4739137 5449938 6674313 7266584 8749176 8899084 9478274 10899876 13348626 14217411 17798168 18956548 21799752 26697252 28434822 28922023 37913096 53394504 56869644 57844046 86766069 113739288 115688092 173532138 231376184 238050497 347064276 476100994 694128552 714151491 952201988 1428302982 1904403976 2856605964 3094656461 5713211928 6189312922 9283969383 12378625844 18567938766 24757251688 37135877532 74271755064