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422375007456 = 25324334106509
BaseRepresentation
bin1100010010101111000…
…00110010010011100000
31111101020001002111222200
412021113200302103200
523410011000214311
6522011510133200
742341563216623
oct6112740622340
91441201074880
10422375007456
111531457536a6
1269a38651200
1330aa3090c1c
141662ba7ddba
15aec0e00556
hex62578324e0

422375007456 has 72 divisors (see below), whose sum is σ = 1229062194360. Its totient is φ = 137517440256.

The previous prime is 422375007449. The next prime is 422375007497. The reversal of 422375007456 is 654700573224.

422375007456 is a `hidden beast` number, since 4 + 2 + 23 + 7 + 500 + 74 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17040871 + ... + 17065638.

It is an arithmetic number, because the mean of its divisors is an integer number (17070308255).

Almost surely, 2422375007456 is an apocalyptic number.

It is an amenable number.

422375007456 is an abundant number, since it is smaller than the sum of its proper divisors (806687186904).

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

422375007456 is a wasteful number, since it uses less digits than its factorization.

422375007456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34106568 (or 34106557 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 422375007456 in words is "four hundred twenty-two billion, three hundred seventy-five million, seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 34106509 68213018 102319527 136426036 204639054 272852072 306958581 409278108 545704144 613917162 818556216 1091408288 1227834324 1466579887 1637112432 2455668648 2933159774 3274224864 4399739661 4911337296 5866319548 8799479322 9822674592 11732639096 13199218983 17598958644 23465278192 26398437966 35197917288 46930556384 52796875932 70395834576 105593751864 140791669152 211187503728 422375007456