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30151815156 = 223229233123953
BaseRepresentation
bin11100000101001100…
…000010111111110100
32212211022221220121200
4130011030002333310
5443222331041111
621503534012500
72115122125431
oct340514027764
985738856550
1030151815156
1111872a06001
125a15947130
132ac697b258
141660686b88
15bb7116256
hex705302ff4

30151815156 has 72 divisors (see below), whose sum is σ = 79184294280. Its totient is φ = 9662306304.

The previous prime is 30151815131. The next prime is 30151815173. The reversal of 30151815156 is 65151815103.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10143712656 + 20008102500 = 100716^2 + 141450^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 30151815156.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 181276 + ... + 305228.

It is an arithmetic number, because the mean of its divisors is an integer number (1099781865).

Almost surely, 230151815156 is an apocalyptic number.

30151815156 is a gapful number since it is divisible by the number (36) 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 30151815156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39592147140).

30151815156 is an abundant number, since it is smaller than the sum of its proper divisors (49032479124).

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

30151815156 is a wasteful number, since it uses less digits than its factorization.

30151815156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124225 (or 124220 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 30151815156 in words is "thirty billion, one hundred fifty-one million, eight hundred fifteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 233 261 348 466 522 699 932 1044 1398 2097 2796 4194 6757 8388 13514 20271 27028 40542 60813 81084 121626 123953 243252 247906 371859 495812 743718 1115577 1487436 2231154 3594637 4462308 7189274 10783911 14378548 21567822 28881049 32351733 43135644 57762098 64703466 86643147 115524196 129406932 173286294 259929441 346572588 519858882 837550421 1039717764 1675100842 2512651263 3350201684 5025302526 7537953789 10050605052 15075907578 30151815156