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150164464120 = 23511432184577
BaseRepresentation
bin1000101111011001111…
…1111110000111111000
3112100121012221011020021
42023312133332013320
54430014100322440
6152552401340224
713564133612326
oct2136637760770
9470535834207
10150164464120
1158758a1a510
1225129937674
1311211673ac8
1473a7562d16
153d8d26984a
hex22f67fe1f8

150164464120 has 96 divisors (see below), whose sum is σ = 377358646320. Its totient is φ = 53335080960.

The previous prime is 150164464117. The next prime is 150164464127. The reversal of 150164464120 is 21464461051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150164464127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721272 + ... + 905848.

Almost surely, 2150164464120 is an apocalyptic number.

150164464120 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 150164464120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188679323160).

150164464120 is an abundant number, since it is smaller than the sum of its proper divisors (227194182200).

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

150164464120 is a wasteful number, since it uses less digits than its factorization.

150164464120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184685 (or 184638 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 150164464120 in words is "one hundred fifty billion, one hundred sixty-four million, four hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1849 1892 2365 3698 3784 4730 7396 9245 9460 14792 18490 18920 20339 36980 40678 73960 81356 101695 162712 184577 203390 369154 406780 738308 813560 922885 1476616 1845770 2030347 3691540 4060694 7383080 7936811 8121388 10151735 15873622 16242776 20303470 31747244 39684055 40606940 63494488 79368110 81213880 87304921 158736220 174609842 317472440 341282873 349219684 436524605 682565746 698439368 873049210 1365131492 1706414365 1746098420 2730262984 3412828730 3492196840 3754111603 6825657460 7508223206 13651314920 15016446412 18770558015 30032892824 37541116030 75082232060 150164464120