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148105002072 = 23331199065863
BaseRepresentation
bin1000100111101110111…
…1101111110001011000
3112011021200200122102010
42021323233233301120
54411304340031242
6152012152105520
713462115513646
oct2117357576130
9464250618363
10148105002072
11578a145a165
12248540952a0
1310c73aaa601
14724dc2a196
153cbc55d89c
hex227bbefc58

148105002072 has 32 divisors (see below), whose sum is σ = 382206458880. Its totient is φ = 47775806880.

The previous prime is 148105002047. The next prime is 148105002121. The reversal of 148105002072 is 270200501841.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 99532188 + ... + 99533675.

It is an arithmetic number, because the mean of its divisors is an integer number (11943951840).

Almost surely, 2148105002072 is an apocalyptic number.

148105002072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148105002072 is an abundant number, since it is smaller than the sum of its proper divisors (234101456808).

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

148105002072 is a wasteful number, since it uses less digits than its factorization.

148105002072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199065903 (or 199065899 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 148105002072 in words is "one hundred forty-eight billion, one hundred five million, two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 199065863 398131726 597197589 796263452 1194395178 1592526904 2388790356 4777580712 6171041753 12342083506 18513125259 24684167012 37026250518 49368334024 74052501036 148105002072