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13073648062500 = 22345616072
BaseRepresentation
bin1011111000111111001000…
…1001100001000000100100
31201021211101000022202010000
42332033302021201000210
53203144312401000000
643445541230101300
72516353120660644
oct276176211410044
951254330282100
1013073648062500
114190559558153
12157191634a830
1373aabbb4041c
14332aa733c524
1517a1201a0000
hexbe3f2261024

13073648062500 has 315 divisors, whose sum is σ = 42747427025149. Its totient is φ = 3484136700000.

The previous prime is 13073648062487. The next prime is 13073648062543. The reversal of 13073648062500 is 526084637031.

The square root of 13073648062500 is 3615750.

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

13073648062500 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 3 + 6 + 4 + 80 + 62 + 500 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11453770772964 + 1619877289536 = 3384342^2 + 1272744^2 .

It is a super-2 number, since 2×130736480625002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 8135436697 + ... + 8135438303.

Almost surely, 213073648062500 is an apocalyptic number.

13073648062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13073648062500 is the 3615750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13073648062500

13073648062500 is an abundant number, since it is smaller than the sum of its proper divisors (29673778962649).

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

13073648062500 is an frugal number, since it uses more digits than its factorization.

13073648062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13073648062500 in words is "thirteen trillion, seventy-three billion, six hundred forty-eight million, sixty-two thousand, five hundred".