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145890048931 = 1197187972767
BaseRepresentation
bin1000011111011110111…
…0010111101110100011
3111221120022212100220121
42013313232113232203
54342240323031211
6151004310021111
713353201645424
oct2076756275643
9457508770817
10145890048931
1156965147080
1224336347797
13109acc41a53
1470bd9b964b
153bdcd8b271
hex21f7b97ba3

145890048931 has 16 divisors (see below), whose sum is σ = 160881315840. Its totient is φ = 131188366080.

The previous prime is 145890048847. The next prime is 145890048959. The reversal of 145890048931 is 139840098541.

It is a cyclic number.

It is not a de Polignac number, because 145890048931 - 27 = 145890048803 is a prime.

It is a super-2 number, since 2×1458900489312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145890048971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968510 + ... + 2041276.

It is an arithmetic number, because the mean of its divisors is an integer number (10055082240).

Almost surely, 2145890048931 is an apocalyptic number.

145890048931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145890048931 is a deficient number, since it is larger than the sum of its proper divisors (14991266909).

145890048931 is a wasteful number, since it uses less digits than its factorization.

145890048931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74754.

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 145890048931 in words is "one hundred forty-five billion, eight hundred ninety million, forty-eight thousand, nine hundred thirty-one".

Divisors: 1 11 97 1067 1879 20669 72767 182263 800437 2004893 7058399 77642389 136729193 1504021123 13262731721 145890048931