Search a number
-
+
150642343650 = 235271109129769
BaseRepresentation
bin1000110001001011111…
…0111011111011100010
3112101211112010221201010
42030102332323323202
54432003414444100
6153112032121350
713612025536161
oct2142276737342
9471745127633
10150642343650
1158983748477
1225241996256
1311289682566
147410bdb3d8
153dba1b3750
hex2312fbbee2

150642343650 has 96 divisors (see below), whose sum is σ = 382333564800. Its totient is φ = 39241843200.

The previous prime is 150642343639. The next prime is 150642343651. The reversal of 150642343650 is 56343246051.

It is a junction number, because it is equal to n+sod(n) for n = 150642343599 and 150642343608.

It is not an unprimeable number, because it can be changed into a prime (150642343651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1095966 + ... + 1225734.

It is an arithmetic number, because the mean of its divisors is an integer number (3982641300).

Almost surely, 2150642343650 is an apocalyptic number.

150642343650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150642343650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191166782400).

150642343650 is an abundant number, since it is smaller than the sum of its proper divisors (231691221150).

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

150642343650 is a wasteful number, since it uses less digits than its factorization.

150642343650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129964 (or 129959 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 150642343650 in words is "one hundred fifty billion, six hundred forty-two million, three hundred forty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 109 142 150 213 218 327 355 426 545 654 710 1065 1090 1635 1775 2130 2725 3270 3550 5325 5450 7739 8175 10650 15478 16350 23217 38695 46434 77390 116085 129769 193475 232170 259538 386950 389307 580425 648845 778614 1160850 1297690 1946535 3244225 3893070 6488450 9213599 9732675 14144821 18427198 19465350 27640797 28289642 42434463 46067995 55281594 70724105 84868926 92135990 138203985 141448210 212172315 230339975 276407970 353620525 424344630 460679950 691019925 707241050 1004282291 1060861575 1382039850 2008564582 2121723150 3012846873 5021411455 6025693746 10042822910 15064234365 25107057275 30128468730 50214114550 75321171825 150642343650