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74534190336 = 283331134673
BaseRepresentation
bin100010101101010010…
…1010111110100000000
321010101102020011201000
41011122211113310000
52210121223042321
654123542212000
75246012110314
oct1053245276400
9233342204630
1074534190336
1129678675411
1212541424000
13704a932508
143870ca1b44
151e13704826
hex115a957d00

74534190336 has 144 divisors (see below), whose sum is σ = 221125806720. Its totient is φ = 24764129280.

The previous prime is 74534190331. The next prime is 74534190361. The reversal of 74534190336 is 63309143547.

74534190336 is a `hidden beast` number, since 7 + 453 + 4 + 190 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 74534190291 and 74534190300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74534190331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2132296 + ... + 2166968.

It is an arithmetic number, because the mean of its divisors is an integer number (1535595880).

Almost surely, 274534190336 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 74534190336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110562903360).

74534190336 is an abundant number, since it is smaller than the sum of its proper divisors (146591616384).

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

74534190336 is a wasteful number, since it uses less digits than its factorization.

74534190336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35009 (or 34989 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 74534190336 in words is "seventy-four billion, five hundred thirty-four million, one hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 311 384 432 576 622 768 864 933 1152 1244 1728 1866 2304 2488 2799 3456 3732 4976 5598 6912 7464 8397 9952 11196 14928 16794 19904 22392 29856 33588 34673 39808 44784 59712 67176 69346 79616 89568 104019 119424 134352 138692 179136 208038 238848 268704 277384 312057 358272 416076 537408 554768 624114 716544 832152 936171 1074816 1109536 1248228 1664304 1872342 2149632 2219072 2496456 3328608 3744684 4438144 4992912 6657216 7489368 8876288 9985824 10783303 13314432 14978736 19971648 21566606 26628864 29957472 32349909 39943296 43133212 59914944 64699818 79886592 86266424 97049727 119829888 129399636 172532848 194099454 239659776 258799272 291149181 345065696 388198908 517598544 582298362 690131392 776397816 1035197088 1164596724 1380262784 1552795632 2070394176 2329193448 2760525568 3105591264 4140788352 4658386896 6211182528 8281576704 9316773792 12422365056 18633547584 24844730112 37267095168 74534190336