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150971033532 = 22311329325939
BaseRepresentation
bin1000110010011010010…
…0110010011110111100
3112102200102122010110110
42030212210302132330
54433142041033112
6153204413110020
713623126416544
oct2144644623674
9472612563413
10150971033532
1159032238000
1225313a88310
131130c7b6c07
14744271c324
153dd8e8d13c
hex23269327bc

150971033532 has 96 divisors (see below), whose sum is σ = 400827974400. Its totient is φ = 44171117760.

The previous prime is 150971033531. The next prime is 150971033569. The reversal of 150971033532 is 235330179051.

150971033532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150971033531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300219 + ... + 626157.

It is an arithmetic number, because the mean of its divisors is an integer number (4175291400).

Almost surely, 2150971033532 is an apocalyptic number.

150971033532 is a gapful number since it is divisible by the number (12) 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 150971033532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200413987200).

150971033532 is an abundant number, since it is smaller than the sum of its proper divisors (249856940868).

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

150971033532 is a wasteful number, since it uses less digits than its factorization.

150971033532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326008 (or 325984 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 39.

The spelling of 150971033532 in words is "one hundred fifty billion, nine hundred seventy-one million, thirty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 363 484 638 726 957 1276 1331 1452 1914 2662 3509 3828 3993 5324 7018 7986 10527 14036 15972 21054 38599 42108 77198 115797 154396 231594 325939 463188 651878 977817 1303756 1955634 3585329 3911268 7170658 9452231 10755987 14341316 18904462 21511974 28356693 37808924 39438619 43023948 56713386 78877238 103974541 113426772 118315857 157754476 207949082 236631714 311923623 415898164 433824809 473263428 623847246 867649618 1143719951 1247694492 1301474427 1735299236 2287439902 2602948854 3431159853 4574879804 5205897708 6862319706 12580919461 13724639412 25161838922 37742758383 50323677844 75485516766 150971033532