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145779163572 = 223717794432917
BaseRepresentation
bin1000011111000100011…
…1011000000110110100
3111221021121012210210110
42013301013120012310
54342023431213242
6150545305223020
713350354305460
oct2076107300664
9457247183713
10145779163572
11569085a0289
1224305191a70
1310992c89703
1470acd934a0
153bd328639c
hex21f11d81b4

145779163572 has 192 divisors, whose sum is σ = 417906155520. Its totient is φ = 38604294144.

The previous prime is 145779163567. The next prime is 145779163573. The reversal of 145779163572 is 275361977541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145779163573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49974258 + ... + 49977174.

It is an arithmetic number, because the mean of its divisors is an integer number (2176594560).

Almost surely, 2145779163572 is an apocalyptic number.

145779163572 is a gapful number since it is divisible by the number (12) 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 145779163572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208953077760).

145779163572 is an abundant number, since it is smaller than the sum of its proper divisors (272126991948).

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

145779163572 is a wasteful number, since it uses less digits than its factorization.

145779163572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3468 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 57.

The spelling of 145779163572 in words is "one hundred forty-five billion, seven hundred seventy-nine million, one hundred sixty-three thousand, five hundred seventy-two".