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148268136149352 = 23333122142792137
BaseRepresentation
bin100001101101100101011101…
…100101100011000101101000
3201102222021222100002122102000
4201231211131211203011220
5123413211120323234402
61243201235203211000
743142006430002142
oct4155453545430550
9642867870078360
10148268136149352
114327418857210a
1214767436976a60
13649681888375b
142888304cc9c92
151221bdb569c1c
hex86d95d963168

148268136149352 has 64 divisors (see below), whose sum is σ = 425141609049600. Its totient is φ = 47828431013760.

The previous prime is 148268136149351. The next prime is 148268136149369. The reversal of 148268136149352 is 253941631862841.

It is a happy number.

148268136149352 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 6 + 8 + 1 + 3 + 614 + 9 + 3 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 148268136149352.

It is not an unprimeable number, because it can be changed into a prime (148268136149351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11071389373 + ... + 11071402764.

It is an arithmetic number, because the mean of its divisors is an integer number (6642837641400).

Almost surely, 2148268136149352 is an apocalyptic number.

148268136149352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148268136149352 is an abundant number, since it is smaller than the sum of its proper divisors (276873472900248).

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

148268136149352 is a wasteful number, since it uses less digits than its factorization.

148268136149352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22142792183 (or 22142792173 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 148268136149352 in words is "one hundred forty-eight trillion, two hundred sixty-eight billion, one hundred thirty-six million, one hundred forty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 22142792137 44285584274 66428376411 88571168548 132856752822 177142337096 199285129233 265713505644 398570258466 531427011288 597855387699 686426556247 797140516932 1195710775398 1372853112494 1594281033864 2059279668741 2391421550796 2745706224988 4118559337482 4782843101592 5491412449976 6177839006223 8237118674964 12355678012446 16474237349928 18533517018669 24711356024892 37067034037338 49422712049784 74134068074676 148268136149352