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145947592092 = 223173783232963
BaseRepresentation
bin1000011111101100100…
…1111000010110011100
3111221201100010212021210
42013323021320112130
54342400040421332
6151014123224420
713354501030641
oct2077311702634
9457640125253
10145947592092
115699467a105
1224351678110
13109bbb3b663
1470c74b7dc8
153be2e55ecc
hex21fb27859c

145947592092 has 96 divisors (see below), whose sum is σ = 374785028352. Its totient is φ = 44013044736.

The previous prime is 145947592073. The next prime is 145947592111. The reversal of 145947592092 is 290295749541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145947592073) and next prime (145947592111).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510003 + ... + 742965.

It is an arithmetic number, because the mean of its divisors is an integer number (3904010712).

Almost surely, 2145947592092 is an apocalyptic number.

145947592092 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 145947592092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187392514176).

145947592092 is an abundant number, since it is smaller than the sum of its proper divisors (228837436260).

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

145947592092 is a wasteful number, since it uses less digits than its factorization.

145947592092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233107 (or 233105 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 145947592092 in words is "one hundred forty-five billion, nine hundred forty-seven million, five hundred ninety-two thousand, ninety-two".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 83 102 111 148 166 204 222 249 332 444 498 629 996 1258 1411 1887 2516 2822 3071 3774 4233 5644 6142 7548 8466 9213 12284 16932 18426 36852 52207 104414 156621 208828 232963 313242 465926 626484 698889 931852 1397778 2795556 3960371 7920742 8619631 11881113 15841484 17239262 19335929 23762226 25858893 34478524 38671858 47524452 51717786 58007787 77343716 103435572 116015574 146533727 232031148 293067454 328710793 439601181 586134908 657421586 715429373 879202362 986132379 1314843172 1430858746 1758404724 1972264758 2146288119 2861717492 3944529516 4292576238 8585152476 12162299341 24324598682 36486898023 48649197364 72973796046 145947592092