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150768495720 = 23335331942061
BaseRepresentation
bin1000110001101010000…
…0001010110001101000
3112102011022112010211000
42030122200022301220
54432233213330340
6153132340035000
713615120032363
oct2143240126150
9472138463730
10150768495720
1158a38981387
1225278092a60
13112a985175b
1474238790da
153dc62d1d30
hex231a80ac68

150768495720 has 128 divisors (see below), whose sum is σ = 502725024000. Its totient is φ = 40191863040.

The previous prime is 150768495719. The next prime is 150768495749. The reversal of 150768495720 is 27594867051.

150768495720 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 68 + 4 + 9 + 572 + 0 = 666.

It is a super-2 number, since 2×1507684957202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3563490 + ... + 3605550.

It is an arithmetic number, because the mean of its divisors is an integer number (3927539250).

Almost surely, 2150768495720 is an apocalyptic number.

150768495720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150768495720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251362512000).

150768495720 is an abundant number, since it is smaller than the sum of its proper divisors (351956528280).

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

150768495720 is a wasteful number, since it uses less digits than its factorization.

150768495720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45400 (or 45390 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 150768495720 in words is "one hundred fifty billion, seven hundred sixty-eight million, four hundred ninety-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3319 6638 9957 13276 16595 19914 26552 29871 33190 39828 42061 49785 59742 66380 79656 84122 89613 99570 119484 126183 132760 149355 168244 179226 199140 210305 238968 252366 298710 336488 358452 378549 398280 420610 448065 504732 597420 630915 716904 757098 841220 896130 1009464 1135647 1194840 1261830 1514196 1682440 1792260 1892745 2271294 2523660 3028392 3584520 3785490 4542588 5047320 5678235 7570980 9085176 11356470 15141960 22712940 45425880 139600459 279200918 418801377 558401836 698002295 837602754 1116803672 1256404131 1396004590 1675205508 2094006885 2512808262 2792009180 3350411016 3769212393 4188013770 5025616524 5584018360 6282020655 7538424786 8376027540 10051233048 12564041310 15076849572 16752055080 18846061965 25128082620 30153699144 37692123930 50256165240 75384247860 150768495720