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145658197080 = 233351117721223
BaseRepresentation
bin1000011110100111100…
…1111011010001011000
3111220222011121001222000
42013221321323101120
54341301444301310
6150525304401000
713344355150464
oct2075171732130
9456864531860
10145658197080
1156856289380
1224290776160
1310973bb48c6
14709aca54a4
153bc783e4c0
hex21e9e7b458

145658197080 has 256 divisors, whose sum is σ = 560823782400. Its totient is φ = 33233909760.

The previous prime is 145658197037. The next prime is 145658197121. The reversal of 145658197080 is 80791856541.

It is a happy number.

145658197080 is a `hidden beast` number, since 1 + 4 + 56 + 581 + 9 + 7 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×1456581970802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158652 + ... + 562571.

It is an arithmetic number, because the mean of its divisors is an integer number (2190717900).

Almost surely, 2145658197080 is an apocalyptic number.

145658197080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145658197080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280411891200).

145658197080 is an abundant number, since it is smaller than the sum of its proper divisors (415165585320).

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

145658197080 is a wasteful number, since it uses less digits than its factorization.

145658197080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721271 (or 721261 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 145658197080 in words is "one hundred forty-five billion, six hundred fifty-eight million, one hundred ninety-seven thousand, eighty".