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148086615352 = 23133161752993
BaseRepresentation
bin1000100111101010100…
…1100110110100111000
3112011020102002111120111
42021322221212310320
54411240133142402
6152010254034104
713461503314234
oct2117251466470
9464212074514
10148086615352
1157892040a25
1224849aa8934
1310c700405b0
14724b6015c4
153cbab2a9d7
hex227aa66d38

148086615352 has 64 divisors (see below), whose sum is σ = 313727420160. Its totient is φ = 65058508800.

The previous prime is 148086615349. The next prime is 148086615361. The reversal of 148086615352 is 253516680841.

148086615352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1480866153522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 148086615296 and 148086615305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179833 + ... + 573160.

It is an arithmetic number, because the mean of its divisors is an integer number (4901990940).

Almost surely, 2148086615352 is an apocalyptic number.

It is an amenable number.

148086615352 is an abundant number, since it is smaller than the sum of its proper divisors (165640804808).

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

148086615352 is a wasteful number, since it uses less digits than its factorization.

148086615352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753104 (or 753100 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 148086615352 in words is "one hundred forty-eight billion, eighty-six million, six hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 31 52 61 62 104 122 124 244 248 403 488 793 806 1586 1612 1891 3172 3224 3782 6344 7564 15128 24583 49166 98332 196664 752993 1505986 3011972 6023944 9788909 19577818 23342783 39155636 45932573 46685566 78311272 91865146 93371132 183730292 186742264 303456179 367460584 597123449 606912358 1194246898 1213824716 1423909763 2388493796 2427649432 2847819526 4776987592 5695639052 11391278104 18510826919 37021653838 74043307676 148086615352