Search a number
-
+
150423570168 = 2331713113720543
BaseRepresentation
bin1000110000010111110…
…0011000011011111000
3112101021021111002220120
42030011330120123320
54431031413221133
6153034215053240
713603431151464
oct2140574303370
9471237432816
10150423570168
1158881202743
12251a0671220
13112532541b1
1473cdb2d4a4
153da5d9bab3
hex2305f186f8

150423570168 has 128 divisors (see below), whose sum is σ = 404167864320. Its totient is φ = 46487367680.

The previous prime is 150423570163. The next prime is 150423570173. The reversal of 150423570168 is 861075324051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150423570163) and next prime (150423570173).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150423570163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7312105 + ... + 7332647.

It is an arithmetic number, because the mean of its divisors is an integer number (3157561440).

Almost surely, 2150423570168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150423570168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202083932160).

150423570168 is an abundant number, since it is smaller than the sum of its proper divisors (253744294152).

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

150423570168 is a wasteful number, since it uses less digits than its factorization.

150423570168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20837 (or 20833 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 150423570168 in words is "one hundred fifty billion, four hundred twenty-three million, five hundred seventy thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 131 136 137 204 262 274 393 408 411 524 548 786 822 1048 1096 1572 1644 2227 2329 3144 3288 4454 4658 6681 6987 8908 9316 13362 13974 17816 17947 18632 20543 26724 27948 35894 41086 53448 53841 55896 61629 71788 82172 107682 123258 143576 164344 215364 246516 305099 349231 430728 493032 610198 698462 915297 1047693 1220396 1396924 1830594 2095386 2440792 2691133 2793848 2814391 3661188 4190772 5382266 5628782 7322376 8073399 8381544 8443173 10764532 11257564 16146798 16886346 21529064 22515128 32293596 33772692 45749261 47844647 64587192 67545384 91498522 95689294 137247783 143533941 182997044 191378588 274495566 287067882 365994088 368685221 382757176 548991132 574135764 737370442 1097982264 1106055663 1148271528 1474740884 2212111326 2949481768 4424222652 6267648757 8848445304 12535297514 18802946271 25070595028 37605892542 50141190056 75211785084 150423570168