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75468541440 = 29359826633
BaseRepresentation
bin100011001001001000…
…1101000111000000000
321012210112101010110110
41012102101220320000
52214024421311230
654400400431320
75311116006105
oct1062221507000
9235715333413
1075468541440
112a00802a206
1212762318540
1371693954a6
14391d000aac
151e6a7694b0
hex1192468e00

75468541440 has 80 divisors (see below), whose sum is σ = 241263517968. Its totient is φ = 20124942336.

The previous prime is 75468541417. The next prime is 75468541451. The reversal of 75468541440 is 4414586457.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 75468541440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4905637 + ... + 4920996.

Almost surely, 275468541440 is an apocalyptic number.

It is an amenable number.

75468541440 is an abundant number, since it is smaller than the sum of its proper divisors (165794976528).

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

75468541440 is an equidigital number, since it uses as much as digits as its factorization.

75468541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9826659 (or 9826643 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 75468541440 in words is "seventy-five billion, four hundred sixty-eight million, five hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 9826633 19653266 29479899 39306532 49133165 58959798 78613064 98266330 117919596 147399495 157226128 196532660 235839192 294798990 314452256 393065320 471678384 589597980 628904512 786130640 943356768 1179195960 1257809024 1572261280 1886713536 2358391920 2515618048 3144522560 3773427072 4716783840 5031236096 6289045120 7546854144 9433567680 12578090240 15093708288 18867135360 25156180480 37734270720 75468541440