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74142827760 = 2435308928449
BaseRepresentation
bin100010100001101000…
…0011100010011110000
321002101010210220011210
41011003100130103300
52203321030442020
654021042040120
75233220431461
oct1050320342360
9232333726153
1074142827760
1129497769971
1212452349040
136cb7826521
143834d08d68
151dde19a3e0
hex114341c4f0

74142827760 has 40 divisors (see below), whose sum is σ = 229842766800. Its totient is φ = 19771420672.

The previous prime is 74142827677. The next prime is 74142827783. The reversal of 74142827760 is 6772824147.

It is a tau number, because it is divible by the number of its divisors (40).

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

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, 154463985 + ... + 154464464.

It is an arithmetic number, because the mean of its divisors is an integer number (5746069170).

Almost surely, 274142827760 is an apocalyptic number.

It is an amenable number.

74142827760 is an abundant number, since it is smaller than the sum of its proper divisors (155699939040).

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

74142827760 is a wasteful number, since it uses less digits than its factorization.

74142827760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308928465 (or 308928459 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The spelling of 74142827760 in words is "seventy-four billion, one hundred forty-two million, eight hundred twenty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 308928449 617856898 926785347 1235713796 1544642245 1853570694 2471427592 3089284490 3707141388 4633926735 4942855184 6178568980 7414282776 9267853470 12357137960 14828565552 18535706940 24714275920 37071413880 74142827760