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74040449064930 = 232510357713842467
BaseRepresentation
bin10000110101011011100010…
…101010100101111111100010
3100201011012100012100212111200
4100311123202222211333202
534201034314430034210
6421245413541222030
721411150231023145
oct2065334252457742
9321135305325450
1074040449064930
11216564182a2977
128379650701916
133240ca4914b8a
14143d810c6a05c
15885e66ade0c0
hex4356e2aa5fe2

74040449064930 has 96 divisors (see below), whose sum is σ = 194711034121344. Its totient is φ = 19518541498368.

The previous prime is 74040449064887. The next prime is 74040449064931. The reversal of 74040449064930 is 3946094404047.

74040449064930 is a `hidden beast` number, since 7 + 4 + 0 + 4 + 0 + 4 + 490 + 64 + 93 + 0 = 666.

It is a super-2 number, since 2×740404490649302 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (74040449064931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1572444 + ... + 12270023.

It is an arithmetic number, because the mean of its divisors is an integer number (2028239938764).

Almost surely, 274040449064930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74040449064930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97355517060672).

74040449064930 is an abundant number, since it is smaller than the sum of its proper divisors (120670585056414).

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

74040449064930 is a wasteful number, since it uses less digits than its factorization.

74040449064930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13843160 (or 13843157 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 74040449064930 in words is "seventy-four trillion, forty billion, four hundred forty-nine million, sixty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 577 618 927 1030 1154 1545 1731 1854 2885 3090 3462 4635 5193 5770 8655 9270 10386 17310 25965 51930 59431 118862 178293 297155 356586 534879 594310 891465 1069758 1782930 2674395 5348790 13842467 27684934 41527401 69212335 83054802 124582203 138424670 207637005 249164406 415274010 622911015 1245822030 1425774101 2851548202 4277322303 7128870505 7987103459 8554644606 12831966909 14257741010 15974206918 21386611515 23961310377 25663933818 39935517295 42773223030 47922620754 64159834545 71883931131 79871034590 119806551885 128319669090 143767862262 239613103770 359419655655 718839311310 822671656277 1645343312554 2468014968831 4113358281385 4936029937662 7404044906493 8226716562770 12340074844155 14808089812986 24680149688310 37020224532465 74040449064930