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1937399529025 = 5247259232
BaseRepresentation
bin11100001100010110000…
…000101011111001000001
320212012202201000102200001
4130030112000223321001
5223220243234412100
64042010135400001
7256654365165232
oct34142600537101
96765681012601
101937399529025
11687712587464
12273593223001
1311090812aa7c
1469ab08b5089
15355e2304d6a
hex1c31602be41

1937399529025 has 27 divisors (see below), whose sum is σ = 2454991810851. Its totient is φ = 1516686499440.

The previous prime is 1937399529011. The next prime is 1937399529041. The reversal of 1937399529025 is 5209259937391.

The square root of 1937399529025 is 1391905.

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

It can be written as a sum of positive squares in only one way, i.e., 697463830449 + 1239935698576 = 835143^2 + 1113524^2 .

It is not a de Polignac number, because 1937399529025 - 25 = 1937399528993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 327094714 + ... + 327100636.

Almost surely, 21937399529025 is an apocalyptic number.

1937399529025 is the 1391905-th square number.

1937399529025 is the 695953-rd centered octagonal number.

It is an amenable number.

1937399529025 is a deficient number, since it is larger than the sum of its proper divisors (517592281826).

1937399529025 is an frugal number, since it uses more digits than its factorization.

1937399529025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11950 (or 5975 counting only the distinct ones).

The product of its (nonzero) digits is 41334300, while the sum is 64.

Multiplying 1937399529025 by its sum of digits (64), we get a square (123993569857600 = 111352402).

The spelling of 1937399529025 in words is "one trillion, nine hundred thirty-seven billion, three hundred ninety-nine million, five hundred twenty-nine thousand, twenty-five".

Divisors: 1 5 25 47 235 1175 2209 5923 11045 29615 55225 148075 278381 1391905 6959525 13083907 35081929 65419535 175409645 327097675 877048225 1648850663 8244253315 41221266575 77495981161 387479905805 1937399529025