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640148610060 = 22355131717821
BaseRepresentation
bin10010101000010111101…
…01001001110000001100
32021012100001112202200000
421110023311021300030
540442011021010220
61210025154204300
764151323256211
oct11241365116014
92235301482600
10640148610060
11227538224573
12a4094583690
134849a7430cb
1422daa497b08
15119b990c390
hex950bd49c0c

640148610060 has 72 divisors (see below), whose sum is σ = 2013702062736. Its totient is φ = 170706294720.

The previous prime is 640148609987. The next prime is 640148610061. The reversal of 640148610060 is 60016841046.

640148610060 is a `hidden beast` number, since 640 + 1 + 4 + 8 + 6 + 1 + 0 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 640148609997 and 640148610024.

It is not an unprimeable number, because it can be changed into a prime (640148610061) by changing a digit.

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, 65854051 + ... + 65863770.

Almost surely, 2640148610060 is an apocalyptic number.

640148610060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

640148610060 is an abundant number, since it is smaller than the sum of its proper divisors (1373553452676).

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

640148610060 is a wasteful number, since it uses less digits than its factorization.

640148610060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131717845 (or 131717831 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 640148610060 in words is "six hundred forty billion, one hundred forty-eight million, six hundred ten thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 131717821 263435642 395153463 526871284 658589105 790306926 1185460389 1317178210 1580613852 1975767315 2370920778 2634356420 3556381167 3951534630 4741841556 5927301945 7112762334 7903069260 10669143501 11854603890 14225524668 17781905835 21338287002 23709207780 32007430503 35563811670 42676574004 53345717505 64014861006 71127623340 106691435010 128029722012 160037152515 213382870020 320074305030 640148610060