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150236163136 = 267379407047
BaseRepresentation
bin1000101111101011000…
…1011110110001000000
3112100210012211211210101
42023322301132301000
54430140424210021
6153003442212144
713565664213343
oct2137261366100
9470705754711
10150236163136
1158795440aa4
1225149954054
1311223488a67
1473b2ca845a
153d946cda91
hex22fac5ec40

150236163136 has 56 divisors (see below), whose sum is σ = 306034968320. Its totient is φ = 73151050752.

The previous prime is 150236163113. The next prime is 150236163151. The reversal of 150236163136 is 631361632051.

It is a happy number.

It is a super-3 number, since 3×1502361631363 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150236163095 and 150236163104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165565 + ... + 572611.

Almost surely, 2150236163136 is an apocalyptic number.

150236163136 is a gapful number since it is divisible by the number (16) 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 150236163136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153017484160).

150236163136 is an abundant number, since it is smaller than the sum of its proper divisors (155798805184).

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

150236163136 is an equidigital number, since it uses as much as digits as its factorization.

150236163136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407211 (or 407201 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

Adding to 150236163136 its reverse (631361632051), we get a palindrome (781597795187).

The spelling of 150236163136 in words is "one hundred fifty billion, two hundred thirty-six million, one hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 73 79 146 158 292 316 584 632 1168 1264 2336 2528 4672 5056 5767 11534 23068 46136 92272 184544 369088 407047 814094 1628188 3256376 6512752 13025504 26051008 29714431 32156713 59428862 64313426 118857724 128626852 237715448 257253704 475430896 514507408 950861792 1029014816 1901723584 2058029632 2347440049 4694880098 9389760196 18779520392 37559040784 75118081568 150236163136