Search a number
-
+
148080130558752 = 2537220357337141
BaseRepresentation
bin100001101010110110010111…
…100101001000101100100000
3201102022022200220102002101210
4201222312113211020230200
5123402121101410340002
61242535023423030120
743122302451565560
oct4152662745105440
9642268626362353
10148080130558752
1143201481294257
1214736b0813b340
136481b864bc562
14287d18bbacda0
15121bd8610e96c
hex86ad97948b20

148080130558752 has 48 divisors (see below), whose sum is σ = 444240391678272. Its totient is φ = 42308608730880.

The previous prime is 148080130558739. The next prime is 148080130558771. The reversal of 148080130558752 is 257855031080841.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 148080130558692 and 148080130558701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110178667899 + ... + 110178669242.

It is an arithmetic number, because the mean of its divisors is an integer number (9255008159964).

Almost surely, 2148080130558752 is an apocalyptic number.

148080130558752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148080130558752 is an abundant number, since it is smaller than the sum of its proper divisors (296160261119520).

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

148080130558752 is a wasteful number, since it uses less digits than its factorization.

148080130558752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220357337161 (or 220357337153 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 57.

The spelling of 148080130558752 in words is "one hundred forty-eight trillion, eighty billion, one hundred thirty million, five hundred fifty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 220357337141 440714674282 661072011423 881429348564 1322144022846 1542501359987 1762858697128 2644288045692 3085002719974 3525717394256 4627504079961 5288576091384 6170005439948 7051434788512 9255008159922 10577152182768 12340010879896 18510016319844 21154304365536 24680021759792 37020032639688 49360043519584 74040065279376 148080130558752