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42207019936249 = 729280992
BaseRepresentation
bin10011001100011000101100…
…11011100010100111111001
312112102221200210022020221211
421212030112123202213321
521013004434100424444
6225433345353003121
711614233205010200
oct1146142633424771
9175387623266854
1042207019936249
11124a2995468063
1248980056b34a1
131a7214961431c
14a5cb8b4b6237
154d2d7c5c4c34
hex2663166e29f9

42207019936249 has 9 divisors (see below), whose sum is σ = 49098014868357. Its totient is φ = 36177406679484.

The previous prime is 42207019936177. The next prime is 42207019936253. The reversal of 42207019936249 is 94263991070224.

The square root of 42207019936249 is 6496693.

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

It is not a de Polignac number, because 42207019936249 - 217 = 42207019805177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42207019936193 and 42207019936202.

It is not an unprimeable number, because it can be changed into a prime (42207019936649) 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, 45012802 + ... + 45940900.

It is an arithmetic number, because the mean of its divisors is an integer number (5455334985373).

Almost surely, 242207019936249 is an apocalyptic number.

42207019936249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

42207019936249 is the 6496693-rd square number.

42207019936249 is the 3248347-th centered octagonal number.

It is an amenable number.

42207019936249 is a deficient number, since it is larger than the sum of its proper divisors (6890994932108).

42207019936249 is an frugal number, since it uses more digits than its factorization.

42207019936249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856212 (or 928106 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 42207019936249 in words is "forty-two trillion, two hundred seven billion, nineteen million, nine hundred thirty-six thousand, two hundred forty-nine".

Divisors: 1 7 49 928099 6496693 45476851 861367753801 6029574276607 42207019936249