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150427459424 = 2511279491773
BaseRepresentation
bin1000110000011000101…
…1001101111101100000
3112101021112210200222002
42030012023031331200
54431033412200144
6153034434303132
713603506210434
oct2140613157540
9471245720862
10150427459424
1158883419800
12251a1a27aa8
1311253cb6528
1473d04629c4
153da63b914e
hex23062cdf60

150427459424 has 72 divisors (see below), whose sum is σ = 329645947680. Its totient is φ = 67510460160.

The previous prime is 150427459423. The next prime is 150427459439. The reversal of 150427459424 is 424954724051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150427459423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60002 + ... + 551774.

It is an arithmetic number, because the mean of its divisors is an integer number (4578415940).

Almost surely, 2150427459424 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 150427459424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164822973840).

150427459424 is an abundant number, since it is smaller than the sum of its proper divisors (179218488256).

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

150427459424 is a wasteful number, since it uses less digits than its factorization.

150427459424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491884 (or 491865 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 150427459424 in words is "one hundred fifty billion, four hundred twenty-seven million, four hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 121 158 176 242 316 352 484 632 869 968 1264 1738 1936 2528 3476 3872 6952 9559 13904 19118 27808 38236 76472 152944 305888 491773 983546 1967092 3934184 5409503 7868368 10819006 15736736 21638012 38850067 43276024 59504533 77700134 86552048 119009066 155400268 173104096 238018132 310800536 427350737 476036264 621601072 854701474 952072528 1243202144 1709402948 1904145056 3418805896 4700858107 6837611792 9401716214 13675223584 18803432428 37606864856 75213729712 150427459424