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74340408096 = 253479363047
BaseRepresentation
bin100010100111100001…
…0001001101100100000
321002212220121000110000
41011033002021230200
52204222121024341
654052420540000
75241140020443
oct1051702115440
9232786530400
1074340408096
11295892499a9
12124a8551600
137019744376
14385325b65a
151e016c78b6
hex114f089b20

74340408096 has 120 divisors (see below), whose sum is σ = 221401192320. Its totient is φ = 24466396032.

The previous prime is 74340408073. The next prime is 74340408127. The reversal of 74340408096 is 69080404347.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23245 + ... + 386291.

It is an arithmetic number, because the mean of its divisors is an integer number (1845009936).

Almost surely, 274340408096 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 74340408096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110700596160).

74340408096 is an abundant number, since it is smaller than the sum of its proper divisors (147060784224).

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

74340408096 is a wasteful number, since it uses less digits than its factorization.

74340408096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363148 (or 363131 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 74340408096 in words is "seventy-four billion, three hundred forty million, four hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 288 316 324 432 474 632 648 711 864 948 1264 1296 1422 1896 2133 2528 2592 2844 3792 4266 5688 6399 7584 8532 11376 12798 17064 22752 25596 34128 51192 68256 102384 204768 363047 726094 1089141 1452188 2178282 2904376 3267423 4356564 5808752 6534846 8713128 9802269 11617504 13069692 17426256 19604538 26139384 28680713 29406807 34852512 39209076 52278768 57361426 58813614 78418152 86042139 104557536 114722852 117627228 156836304 172084278 229445704 235254456 258126417 313672608 344168556 458891408 470508912 516252834 688337112 774379251 917782816 941017824 1032505668 1376674224 1548758502 2065011336 2323137753 2753348448 3097517004 4130022672 4646275506 6195034008 8260045344 9292551012 12390068016 18585102024 24780136032 37170204048 74340408096