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148340682972 = 223246356915641
BaseRepresentation
bin1000101000100111001…
…0110011000011011100
3112011220010011110211100
42022021302303003130
54412300203323342
6152051411353100
713501010000166
oct2121162630334
9464803143740
10148340682972
1157a024a2769
12248babb2790
1310cb0878571
147273259936
153cd30b4e4c
hex2289cb30dc

148340682972 has 72 divisors (see below), whose sum is σ = 376466650560. Its totient is φ = 49250234880.

The previous prime is 148340682967. The next prime is 148340683031. The reversal of 148340682972 is 279286043841.

148340682972 is a `hidden beast` number, since 1 + 4 + 8 + 340 + 6 + 8 + 297 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9476272 + ... + 9491912.

It is an arithmetic number, because the mean of its divisors is an integer number (5228703480).

Almost surely, 2148340682972 is an apocalyptic number.

148340682972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148340682972 is an abundant number, since it is smaller than the sum of its proper divisors (228125967588).

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

148340682972 is a wasteful number, since it uses less digits than its factorization.

148340682972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16683 (or 16678 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 148340682972 in words is "one hundred forty-eight billion, three hundred forty million, six hundred eighty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 463 569 926 1138 1389 1707 1852 2276 2778 3414 4167 5121 5556 6828 8334 10242 15641 16668 20484 31282 46923 62564 93846 140769 187692 263447 281538 526894 563076 790341 1053788 1580682 2371023 3161364 4742046 7241783 8899729 9484092 14483566 17799458 21725349 26699187 28967132 35598916 43450698 53398374 65176047 80097561 86901396 106796748 130352094 160195122 260704188 320390244 4120574527 8241149054 12361723581 16482298108 24723447162 37085170743 49446894324 74170341486 148340682972