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146030792160 = 25351179350093
BaseRepresentation
bin1000100000000000011…
…1010000110111100000
3111221221010200212022210
42020000013100313200
54343032340322120
6151030254402120
713356531152511
oct2100007206740
9457833625283
10146030792160
1156a276365a0
1224375500340
1310a0314c476
1470d4574a08
153bea3dcce0
hex22001d0de0

146030792160 has 192 divisors, whose sum is σ = 508168442880. Its totient is φ = 34953185280.

The previous prime is 146030792147. The next prime is 146030792161. The reversal of 146030792160 is 61297030641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146030792161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242074 + ... + 592166.

It is an arithmetic number, because the mean of its divisors is an integer number (2646710640).

Almost surely, 2146030792160 is an apocalyptic number.

146030792160 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 146030792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254084221440).

146030792160 is an abundant number, since it is smaller than the sum of its proper divisors (362137650720).

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

146030792160 is a wasteful number, since it uses less digits than its factorization.

146030792160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350201 (or 350193 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 146030792160 in words is "one hundred forty-six billion, thirty million, seven hundred ninety-two thousand, one hundred sixty".