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162231193728 = 2732118672
BaseRepresentation
bin1001011100010110111…
…0111001000010000000
3120111202011121112101200
42113011232321002000
510124222141144403
6202310013301200
714502145252122
oct2270556710200
9514664545350
10162231193728
116289030901a
1227536a94800
13123b55a06b6
147bcdd91212
1543477bbca3
hex25c5bb9080

162231193728 has 72 divisors (see below), whose sum is σ = 466876501455. Its totient is φ = 54072507648.

The previous prime is 162231193721. The next prime is 162231193757. The reversal of 162231193728 is 827391132261.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

162231193728 is a `hidden beast` number, since 1 + 622 + 3 + 1 + 19 + 3 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81115596864 + 81115596864 = 284808^2 + 284808^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=284808.

It is not an unprimeable number, because it can be changed into a prime (162231193721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13664851 + ... + 13676717.

Almost surely, 2162231193728 is an apocalyptic number.

162231193728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

162231193728 is an abundant number, since it is smaller than the sum of its proper divisors (304645307727).

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

162231193728 is an frugal number, since it uses more digits than its factorization.

162231193728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23754 (or 11872 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 162231193728 in words is "one hundred sixty-two billion, two hundred thirty-one million, one hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11867 23734 35601 47468 71202 94936 106803 142404 189872 213606 284808 379744 427212 569616 759488 854424 1139232 1518976 1708848 2278464 3417696 4556928 6835392 13670784 140825689 281651378 422477067 563302756 844954134 1126605512 1267431201 1689908268 2253211024 2534862402 3379816536 4506422048 5069724804 6759633072 9012844096 10139449608 13519266144 18025688192 20278899216 27038532288 40557798432 54077064576 81115596864 162231193728