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145780336890 = 23251985251659
BaseRepresentation
bin1000011111000100101…
…1110110100011111010
3111221021200102102021200
42013301023312203322
54342024231240030
6150545350315030
713350400263306
oct2076113664372
9457250372250
10145780336890
1156909221871
1224305658a76
13109932aa796
1470ad1bad06
153bd3418d60
hex21f12f68fa

145780336890 has 48 divisors (see below), whose sum is σ = 398977768800. Its totient is φ = 36828716256.

The previous prime is 145780336873. The next prime is 145780336907. The reversal of 145780336890 is 98633087541.

145780336890 is a `hidden beast` number, since 1 + 4 + 578 + 0 + 3 + 3 + 68 + 9 + 0 = 666.

145780336890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145780336873) and next prime (145780336907).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42624120 + ... + 42627539.

It is an arithmetic number, because the mean of its divisors is an integer number (8312036850).

Almost surely, 2145780336890 is an apocalyptic number.

145780336890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145780336890 is an abundant number, since it is smaller than the sum of its proper divisors (253197431910).

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

145780336890 is a wasteful number, since it uses less digits than its factorization.

145780336890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85251691 (or 85251688 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 145780336890 in words is "one hundred forty-five billion, seven hundred eighty million, three hundred thirty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 85251659 170503318 255754977 426258295 511509954 767264931 852516590 1278774885 1534529862 1619781521 2557549770 3239563042 3836324655 4859344563 7672649310 8098907605 9718689126 14578033689 16197815210 24296722815 29156067378 48593445630 72890168445 145780336890