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150045742260 = 223252773009341
BaseRepresentation
bin1000101110111101101…
…1000101010010110100
3112100021221112110110100
42023233123011102310
54424243202223020
6152532520554100
713561162523421
oct2135733052264
9470257473410
10150045742260
11586a7a00a77
12250b6022930
13111c2ba689b
14739589ad48
153d82b17a90
hex22ef6c54b4

150045742260 has 72 divisors (see below), whose sum is σ = 456782003496. Its totient is φ = 39867736320.

The previous prime is 150045742157. The next prime is 150045742279. The reversal of 150045742260 is 62247540051.

It is a happy number.

150045742260 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 4 + 574 + 22 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 736145424 + 149309596836 = 27132^2 + 386406^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1454811 + ... + 1554530.

It is an arithmetic number, because the mean of its divisors is an integer number (6344194493).

Almost surely, 2150045742260 is an apocalyptic number.

150045742260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150045742260 is an abundant number, since it is smaller than the sum of its proper divisors (306736261236).

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

150045742260 is a wasteful number, since it uses less digits than its factorization.

150045742260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009633 (or 3009628 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 150045742260 in words is "one hundred fifty billion, forty-five million, seven hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 554 831 1108 1385 1662 2493 2770 3324 4155 4986 5540 8310 9972 12465 16620 24930 49860 3009341 6018682 9028023 12037364 15046705 18056046 27084069 30093410 36112092 45140115 54168138 60186820 90280230 108336276 135420345 180560460 270840690 541681380 833587457 1667174914 2500762371 3334349828 4167937285 5001524742 7502287113 8335874570 10003049484 12503811855 15004574226 16671749140 25007623710 30009148452 37511435565 50015247420 75022871130 150045742260