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148309458102 = 232132181126921
BaseRepresentation
bin1000101000011111101…
…1101011110010110110
3112011210221102002100200
42022013323223302312
54412214210124402
6152044334221330
713500150410451
oct2120773536266
9464727362320
10148309458102
1157996905a93
12248b0654846
1310ca7264c00
14726d04c498
153cd049821c
hex2287eebcb6

148309458102 has 72 divisors (see below), whose sum is σ = 348161872968. Its totient is φ = 45606787200.

The previous prime is 148309458079. The next prime is 148309458113. The reversal of 148309458102 is 201854903841.

148309458102 is a `hidden beast` number, since 1 + 483 + 0 + 94 + 5 + 81 + 0 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5495602 + ... + 5522522.

It is an arithmetic number, because the mean of its divisors is an integer number (4835581569).

Almost surely, 2148309458102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148309458102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174080936484).

148309458102 is an abundant number, since it is smaller than the sum of its proper divisors (199852414866).

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

148309458102 is a wasteful number, since it uses less digits than its factorization.

148309458102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28766 (or 28750 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 148309458102 in words is "one hundred forty-eight billion, three hundred nine million, four hundred fifty-eight thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 1811 3042 3622 5433 10866 16299 23543 26921 32598 47086 53842 70629 80763 141258 161526 211887 242289 306059 349973 423774 484578 612118 699946 918177 1049919 1836354 2099838 2754531 3149757 4549649 5509062 6299514 9099298 13648947 27297894 40946841 48753931 81893682 97507862 146261793 292523586 438785379 633801103 877570758 1267602206 1901403309 3802806618 5704209927 8239414339 11408419854 16478828678 24718243017 49436486034 74154729051 148309458102