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4090454896512 = 273313391101333
BaseRepresentation
bin111011100001100010000…
…111000110111110000000
3112111001011211112112202110
4323201202013012332000
51014004222423142022
612411043512215320
7601345166641425
oct73414207067600
915431154475673
104090454896512
111337830173196
1256091109a540
13238960c4033a
14101d9c811d4c
157160724100c
hex3b8621c6f80

4090454896512 has 128 divisors (see below), whose sum is σ = 11219181649920. Its totient is φ = 1319099443200.

The previous prime is 4090454896501. The next prime is 4090454896519. The reversal of 4090454896512 is 2156984540904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40904548965122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4090454896519) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40315798 + ... + 40417130.

It is an arithmetic number, because the mean of its divisors is an integer number (87649856640).

Almost surely, 24090454896512 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 4090454896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609590824960).

4090454896512 is an abundant number, since it is smaller than the sum of its proper divisors (7128726753408).

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

4090454896512 is a wasteful number, since it uses less digits than its factorization.

4090454896512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104772 (or 104760 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 4090454896512 in words is "four trillion, ninety billion, four hundred fifty-four million, eight hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3391 3968 5952 6782 10173 11904 13564 20346 27128 40692 54256 81384 101333 105121 108512 162768 202666 210242 217024 303999 315363 325536 405332 420484 434048 607998 630726 651072 810664 840968 1215996 1261452 1302144 1621328 1681936 2431992 2522904 3141323 3242656 3363872 4863984 5045808 6282646 6485312 6727744 9423969 9727968 10091616 12565292 12970624 13455488 18847938 19455936 20183232 25130584 37695876 38911872 40366464 50261168 75391752 100522336 150783504 201044672 301567008 343620203 402089344 603134016 687240406 1030860609 1206268032 1374480812 2061721218 2748961624 4123442436 5497923248 8246884872 10652226293 10995846496 16493769744 21304452586 21991692992 31956678879 32987539488 42608905172 43983385984 63913357758 65975078976 85217810344 127826715516 131950157952 170435620688 255653431032 340871241376 511306862064 681742482752 1022613724128 1363484965504 2045227448256 4090454896512