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150648243840 = 2732526154209
BaseRepresentation
bin1000110001001101010…
…1011100011010000000
3112101211221020201020200
42030103111130122000
54432011422300330
6153112402405200
713612126641663
oct2142325343200
9471757221220
10150648243840
1158987008366
1225243960800
131128a969cb3
1474118d56da
153dba97ba60
hex231355c680

150648243840 has 96 divisors (see below), whose sum is σ = 520207236900. Its totient is φ = 40172863488.

The previous prime is 150648243751. The next prime is 150648243859. The reversal of 150648243840 is 48342846051.

150648243840 is a `hidden beast` number, since 1 + 50 + 6 + 482 + 43 + 84 + 0 = 666.

150648243840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 145087857216 + 5560386624 = 380904^2 + 74568^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13071345 + ... + 13082864.

Almost surely, 2150648243840 is an apocalyptic number.

150648243840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150648243840 is an abundant number, since it is smaller than the sum of its proper divisors (369558993060).

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

150648243840 is a wasteful number, since it uses less digits than its factorization.

150648243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26154234 (or 26154219 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 150648243840 in words is "one hundred fifty billion, six hundred forty-eight million, two hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 26154209 52308418 78462627 104616836 130771045 156925254 209233672 235387881 261542090 313850508 392313135 418467344 470775762 523084180 627701016 784626270 836934688 941551524 1046168360 1176939405 1255402032 1569252540 1673869376 1883103048 2092336720 2353878810 2510804064 3138505080 3347738752 3766206096 4184673440 4707757620 5021608128 6277010160 7532412192 8369346880 9415515240 10043216256 12554020320 15064824384 16738693760 18831030480 25108040640 30129648768 37662060960 50216081280 75324121920 150648243840