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40074769854 = 232722312371597
BaseRepresentation
bin100101010100101001…
…000111010110111110
310211102212202020110100
4211110221013112332
51124033120113404
630224325221530
72616042631500
oct452451072676
9124385666410
1040074769854
1115aa5187809
127924b618a6
133a18701192
141d224b1d70
151098355d39
hex954a475be

40074769854 has 144 divisors (see below), whose sum is σ = 105547542048. Its totient is φ = 10936404864.

The previous prime is 40074769811. The next prime is 40074769871. The reversal of 40074769854 is 45896747004.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40074769854.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 25092984 + ... + 25094580.

It is an arithmetic number, because the mean of its divisors is an integer number (732969042).

Almost surely, 240074769854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40074769854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52773771024).

40074769854 is an abundant number, since it is smaller than the sum of its proper divisors (65472772194).

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

40074769854 is a wasteful number, since it uses less digits than its factorization.

40074769854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 40074769854 in words is "forty billion, seventy-four million, seven hundred sixty-nine thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 414 441 483 882 966 1127 1237 1449 1597 2254 2474 2898 3194 3381 3711 4791 6762 7422 8659 9582 10143 11133 11179 14373 17318 20286 22266 22358 25977 28451 28746 33537 36731 51954 56902 60613 67074 73462 77931 78253 85353 100611 110193 121226 155862 156506 170706 181839 199157 201222 220386 234759 256059 257117 330579 363678 398314 469518 512118 514234 545517 597471 661158 704277 771351 1091034 1194942 1394099 1408554 1542702 1792413 1799819 1975489 2314053 2788198 3584826 3599638 3950978 4182297 4628106 5399457 5926467 8364594 10798914 11852934 12546891 13828423 16198371 17779401 25093782 27656846 32396742 35558802 41485269 45436247 82970538 90872494 96798961 124455807 136308741 193597922 248911614 272617482 290396883 318053729 408926223 580793766 636107458 817852446 871190649 954161187 1742381298 1908322374 2226376103 2862483561 4452752206 5724967122 6679128309 13358256618 20037384927 40074769854