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46006754572968 = 23372193120259653
BaseRepresentation
bin10100111010111110010000…
…10000110111101010101000
320000220012110211101102101220
422131133020100313222220
522012233313132313333
6241503113345142040
712455610160346400
oct1235371020675250
9200805424342356
1046006754572968
111372839a621132
1251b050102a920
131c8955912c3a7
14b50a4b3b9800
1554bb1bb8e8b3
hex29d7c8437aa8

46006754572968 has 96 divisors (see below), whose sum is σ = 133864448225760. Its totient is φ = 13137979128960.

The previous prime is 46006754572957. The next prime is 46006754572993. The reversal of 46006754572968 is 86927545760064.

46006754572968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7858971 + ... + 12400682.

It is an arithmetic number, because the mean of its divisors is an integer number (1394421335685).

Almost surely, 246006754572968 is an apocalyptic number.

It is an amenable number.

46006754572968 is an abundant number, since it is smaller than the sum of its proper divisors (87857693652792).

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

46006754572968 is a wasteful number, since it uses less digits than its factorization.

46006754572968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20261607 (or 20261596 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 69.

The spelling of 46006754572968 in words is "forty-six trillion, six billion, seven hundred fifty-four million, five hundred seventy-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1931 3862 5793 7724 11586 13517 15448 23172 27034 40551 46344 54068 81102 94619 108136 162204 189238 283857 324408 378476 567714 756952 1135428 2270856 20259653 40519306 60778959 81038612 121557918 141817571 162077224 243115836 283635142 425452713 486231672 567270284 850905426 992722997 1134540568 1701810852 1985445994 2978168991 3403621704 3970891988 5956337982 7941783976 11912675964 23825351928 39121389943 78242779886 117364169829 156485559772 234728339658 273849729601 312971119544 469456679316 547699459202 821549188803 938913358632 1095398918404 1643098377606 1916948107207 2190797836808 3286196755212 3833896214414 5750844321621 6572393510424 7667792428828 11501688643242 15335584857656 23003377286484 46006754572968