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149956366564 = 2237252332
BaseRepresentation
bin1000101110101000011…
…0001001000011100100
3112100001201100201001101
42023222012021003210
54424102312212224
6152520005205444
713556026041034
oct2135206110344
9470051321041
10149956366564
1158661506764
1225090100884
13111aa512b64
147387a738c4
153d79d61044
hex22ea1890e4

149956366564 has 27 divisors (see below), whose sum is σ = 269759412027. Its totient is φ = 72937805184.

The previous prime is 149956366543. The next prime is 149956366591. The reversal of 149956366564 is 465663659941.

The square root of 149956366564 is 387242.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 112397926564 + 37558440000 = 335258^2 + 193800^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 149956366496 and 149956366505.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28653292 + ... + 28658524.

Almost surely, 2149956366564 is an apocalyptic number.

149956366564 is the 387242-nd square number.

It is an amenable number.

149956366564 is a deficient number, since it is larger than the sum of its proper divisors (119803045463).

149956366564 is an frugal number, since it uses more digits than its factorization.

149956366564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10544 (or 5272 counting only the distinct ones).

The product of its digits is 125971200, while the sum is 64.

Multiplying 149956366564 by its sum of digits (64), we get a square (9597207460096 = 30979362).

The spelling of 149956366564 in words is "one hundred forty-nine billion, nine hundred fifty-six million, three hundred sixty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 37 74 148 1369 2738 5233 5476 10466 20932 193621 387242 774484 7163977 14327954 27384289 28655908 54768578 109537156 1013218693 2026437386 4052874772 37489091641 74978183282 149956366564