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74132943400464 = 24313752915779359
BaseRepresentation
bin10000110110110001101011…
…110000011110111000010000
3100201111001002021202221201120
4100312301223300132320100
534204043232002303324
6421400112024002240
721420633305634024
oct2066615360367020
9321431067687646
1074132943400464
11216916719a9193
128393564900380
133249925432230
1414440a7142384
1588857be28179
hex436c6bc1ee10

74132943400464 has 80 divisors (see below), whose sum is σ = 206269056268800. Its totient is φ = 22807105348608.

The previous prime is 74132943400459. The next prime is 74132943400493. The reversal of 74132943400464 is 46400434923147.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3191584 + ... + 12587775.

It is an arithmetic number, because the mean of its divisors is an integer number (2578363203360).

Almost surely, 274132943400464 is an apocalyptic number.

It is an amenable number.

74132943400464 is an abundant number, since it is smaller than the sum of its proper divisors (132136112868336).

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

74132943400464 is a wasteful number, since it uses less digits than its factorization.

74132943400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15786912 (or 15786906 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 74132943400464 in words is "seventy-four trillion, one hundred thirty-two billion, nine hundred forty-three million, four hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 7529 15058 22587 30116 45174 60232 90348 97877 120464 180696 195754 293631 361392 391508 587262 783016 1174524 1566032 2349048 4698096 15779359 31558718 47338077 63117436 94676154 126234872 189352308 205131667 252469744 378704616 410263334 615395001 757409232 820526668 1230790002 1641053336 2461580004 3282106672 4923160008 9846320016 118802793911 237605587822 356408381733 475211175644 712816763466 950422351288 1425633526932 1544436320843 1900844702576 2851267053864 3088872641686 4633308962529 5702534107728 6177745283372 9266617925058 12355490566744 18533235850116 24710981133488 37066471700232 74132943400464