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150307726660 = 225713172285767
BaseRepresentation
bin1000101111111100001…
…0011110010101000100
3112100222012111122111021
42023333002132111010
54430312234223120
6153014520120524
713600523411350
oct2137702362504
9470865448437
10150307726660
115882187a803
1225169906144
1311235254140
1473bc5b6460
153d9ab17aaa
hex22ff09e544

150307726660 has 144 divisors (see below), whose sum is σ = 412685570304. Its totient is φ = 44771530752.

The previous prime is 150307726637. The next prime is 150307726687. The reversal of 150307726660 is 66627703051.

150307726660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383097 + ... + 668863.

It is an arithmetic number, because the mean of its divisors is an integer number (2865872016).

Almost surely, 2150307726660 is an apocalyptic number.

150307726660 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 150307726660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206342785152).

150307726660 is an abundant number, since it is smaller than the sum of its proper divisors (262377843644).

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

150307726660 is a wasteful number, since it uses less digits than its factorization.

150307726660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285830 (or 285811 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 150307726660 in words is "one hundred fifty billion, three hundred seven million, seven hundred twenty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 289 340 364 442 455 476 578 595 884 910 1105 1156 1190 1445 1547 1820 2023 2210 2380 2890 3094 3757 4046 4420 5780 6188 7514 7735 8092 10115 15028 15470 18785 20230 26299 30940 37570 40460 52598 75140 105196 131495 262990 285767 525980 571534 1143068 1428835 2000369 2857670 3714971 4000738 4858039 5715340 7429942 8001476 9716078 10001845 14859884 18574855 19432156 20003690 24290195 26004797 34006273 37149710 40007380 48580390 52009594 63154507 68012546 74299420 82586663 97160780 104019188 126309014 130023985 136025092 165173326 170031365 252618028 260047970 315772535 330346652 340062730 412933315 442081549 520095940 578106641 631545070 680125460 825866630 884163098 1073626619 1156213282 1263090140 1651733260 1768326196 2147253238 2210407745 2312426564 2890533205 4294506476 4420815490 5368133095 5781066410 7515386333 8841630980 10736266190 11562132820 15030772666 21472532380 30061545332 37576931665 75153863330 150307726660