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150146005600 = 25522310877507
BaseRepresentation
bin1000101111010101100…
…1100011101001100000
3112100112221012100220101
42023311121203221200
54424444334134400
6152550501552144
713563520663363
oct2136531435140
9470487170811
10150146005600
1158749562338
1225123715654
131120a8b01c6
1473a4d1a0da
153d8b82056a
hex22f5663a60

150146005600 has 144 divisors (see below), whose sum is σ = 382883493888. Its totient is φ = 57386672640.

The previous prime is 150146005591. The next prime is 150146005613. The reversal of 150146005600 is 6500641051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19997047 + ... + 20004553.

It is an arithmetic number, because the mean of its divisors is an integer number (2658913152).

Almost surely, 2150146005600 is an apocalyptic number.

150146005600 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 150146005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191441746944).

150146005600 is an abundant number, since it is smaller than the sum of its proper divisors (232737488288).

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

150146005600 is a wasteful number, since it uses less digits than its factorization.

150146005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8637 (or 8624 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 150146005600 its reverse (6500641051), we get a palindrome (156646646651).

It can be divided in two parts, 15014 and 6005600, that multiplied together give a square (90168078400 = 3002802).

The spelling of 150146005600 in words is "one hundred fifty billion, one hundred forty-six million, five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 800 920 1087 1150 1840 2174 2300 3680 4348 4600 5435 7507 8696 9200 10870 15014 17392 18400 21740 25001 27175 30028 34784 37535 43480 50002 54350 60056 75070 86960 100004 108700 120112 125005 150140 172661 173920 187675 200008 217400 240224 250010 300280 345322 375350 400016 434800 500020 600560 625025 690644 750700 800032 863305 869600 1000040 1201120 1250050 1381288 1501400 1726610 2000080 2500100 2762576 3002800 3453220 4000160 4316525 5000200 5525152 6005600 6906440 8160109 8633050 10000400 13812880 16320218 17266100 20000800 27625760 32640436 34532200 40800545 65280872 69064400 81601090 130561744 138128800 163202180 187682507 204002725 261123488 326404360 375365014 408005450 652808720 750730028 816010900 938412535 1305617440 1501460056 1632021800 1876825070 3002920112 3264043600 3753650140 4692062675 6005840224 6528087200 7507300280 9384125350 15014600560 18768250700 30029201120 37536501400 75073002800 150146005600