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15072472900 = 2252122772
BaseRepresentation
bin11100000100110001…
…11010111101000100
31102220102111221211001
432002120322331010
5221332023113100
610531343223044
71042336622452
oct160230727504
942812457731
1015072472900
116435021a81
122b078a7a84
131562872324
14a2dacb9d2
155d337cd6a
hex38263af44

15072472900 has 27 divisors (see below), whose sum is σ = 32709930519. Its totient is φ = 6028498080.

The previous prime is 15072472871. The next prime is 15072472957. The reversal of 15072472900 is 927427051.

The square root of 15072472900 is 122770.

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 5269888836 + 9802584064 = 72594^2 + 99008^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15072472900.

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, 1221562 + ... + 1233838.

Almost surely, 215072472900 is an apocalyptic number.

15072472900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15072472900 is the 122770-th square number.

It is an amenable number.

15072472900 is an abundant number, since it is smaller than the sum of its proper divisors (17637457619).

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

15072472900 is an frugal number, since it uses more digits than its factorization.

15072472900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24568 (or 12284 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

Adding to 15072472900 its reverse (927427051), we get a palindrome (15999899951).

The spelling of 15072472900 in words is "fifteen billion, seventy-two million, four hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12277 24554 49108 61385 122770 245540 306925 613850 1227700 150724729 301449458 602898916 753623645 1507247290 3014494580 3768118225 7536236450 15072472900