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15072245525401 = 37231723312
BaseRepresentation
bin1101101101010100011111…
…0101110010101110011001
31222100220002201001022212121
43123111013311302232121
53433420424323303101
652020032145541241
73113635203055411
oct333250765625631
958326081038777
1015072245525401
114891115737069
121835128644821
138543ca94828c
143a1701819641
151b20e4e860a1
hexdb547d72b99

15072245525401 has 27 divisors (see below), whose sum is σ = 15586722996957. Its totient is φ = 14574461029920.

The previous prime is 15072245525399. The next prime is 15072245525429. The reversal of 15072245525401 is 10452554227051.

The square root of 15072245525401 is 3882299.

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 125670959001 + 14946574566400 = 354501^2 + 3866080^2 .

It is not a de Polignac number, because 15072245525401 - 21 = 15072245525399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15072245528401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45535484806 + ... + 45535485136.

Almost surely, 215072245525401 is an apocalyptic number.

15072245525401 is the 3882299-th square number.

15072245525401 is the 1941150-th centered octagonal number.

It is an amenable number.

15072245525401 is a deficient number, since it is larger than the sum of its proper divisors (514477471556).

15072245525401 is an frugal number, since it uses more digits than its factorization.

15072245525401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 43.

The spelling of 15072245525401 in words is "fifteen trillion, seventy-two billion, two hundred forty-five million, five hundred twenty-five thousand, four hundred one".

Divisors: 1 37 317 331 1369 11729 12247 100489 104927 109561 433973 453139 3718093 3882299 4053757 33261859 34730837 137569441 143645063 149989009 1230688783 1285040969 11009675329 45535484971 47546515853 407357987173 15072245525401