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150010531452 = 22326770188721
BaseRepresentation
bin1000101110110101010…
…0110000111001111100
3112100012111021120022100
42023231110300321330
54424210144001302
6152525222145100
713560254323125
oct2135524607174
9470174246270
10150010531452
115868a041631
12250a6282190
13111b87c8ba2
147390d3304c
153d7e9aed1c
hex22ed530e7c

150010531452 has 72 divisors (see below), whose sum is σ = 385406238672. Its totient is φ = 49186368000.

The previous prime is 150010531441. The next prime is 150010531469. The reversal of 150010531452 is 254135010051.

150010531452 is a `hidden beast` number, since 1 + 500 + 10 + 5 + 3 + 145 + 2 = 666.

It is a super-2 number, since 2×1500105314522 (a number of 23 digits) contains 22 as substring.

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, 1646452 + ... + 1735172.

It is an arithmetic number, because the mean of its divisors is an integer number (5352864426).

Almost surely, 2150010531452 is an apocalyptic number.

150010531452 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 150010531452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192703119336).

150010531452 is an abundant number, since it is smaller than the sum of its proper divisors (235395707220).

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

150010531452 is a wasteful number, since it uses less digits than its factorization.

150010531452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89499 (or 89494 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 150010531452 in words is "one hundred fifty billion, ten million, five hundred thirty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 701 804 1206 1402 2103 2412 2804 4206 6309 8412 12618 25236 46967 88721 93934 140901 177442 187868 266163 281802 354884 422703 532326 563604 798489 845406 1064652 1596978 1690812 3193956 5944307 11888614 17832921 23777228 35665842 53498763 62193421 71331684 106997526 124386842 186580263 213995052 248773684 373160526 559740789 746321052 1119481578 2238963156 4166959207 8333918414 12500877621 16667836828 25001755242 37502632863 50003510484 75005265726 150010531452