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149869636900 = 2252387132
BaseRepresentation
bin1000101110010011101…
…1010010110100100100
3112022211200011101022121
42023210323102310210
54423413111340100
6152503230235324
713553623615624
oct2134473226444
9468750141277
10149869636900
1158617559455
1225067055b44
1311195567629
14737a338884
153d7242d51a
hex22e4ed2d24

149869636900 has 27 divisors (see below), whose sum is σ = 325225513011. Its totient is φ = 59946306240.

The previous prime is 149869636871. The next prime is 149869636901. The reversal of 149869636900 is 9636968941.

The square root of 149869636900 is 387130.

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 6083064036 + 143786572864 = 77994^2 + 379192^2 .

It is a super-2 number, since 2×1498696369002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149869636901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3851944 + ... + 3890656.

Almost surely, 2149869636900 is an apocalyptic number.

149869636900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149869636900 is the 387130-th square number.

It is an amenable number.

149869636900 is an abundant number, since it is smaller than the sum of its proper divisors (175355876111).

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

149869636900 is an frugal number, since it uses more digits than its factorization.

149869636900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77440 (or 38720 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 61.

It can be divided in two parts, 149869 and 636900, that added together give a square (786769 = 8872).

The spelling of 149869636900 in words is "one hundred forty-nine billion, eight hundred sixty-nine million, six hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 38713 77426 154852 193565 387130 774260 967825 1935650 3871300 1498696369 2997392738 5994785476 7493481845 14986963690 29973927380 37467409225 74934818450 149869636900