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190937537297 = 1331737233593
BaseRepresentation
bin1011000111010011000…
…0111001101100010001
3200020211202122212202122
42301310300321230101
511112020002143142
6223414314024025
716536416200643
oct2616460715421
9606752585678
10190937537297
1173a81297901
1231008718015
131500b93c000
14935468a893
154e77a5a1d2
hex2c74c39b11

190937537297 has 64 divisors (see below), whose sum is σ = 226274368320. Its totient is φ = 160435372032.

The previous prime is 190937537293. The next prime is 190937537303. The reversal of 190937537297 is 792735739091.

It is a Cunningham number, because it is equal to 4369642+1.

It can be written as a sum of positive squares in 32 ways, for example, as 189685509841 + 1252027456 = 435529^2 + 35384^2 .

It is not a de Polignac number, because 190937537297 - 22 = 190937537293 is a prime.

It is not an unprimeable number, because it can be changed into a prime (190937537291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321985433 + ... + 321986025.

It is an arithmetic number, because the mean of its divisors is an integer number (3535537005).

Almost surely, 2190937537297 is an apocalyptic number.

190937537297 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

190937537297 is a deficient number, since it is larger than the sum of its proper divisors (35336831023).

190937537297 is a wasteful number, since it uses less digits than its factorization.

190937537297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 22504230, while the sum is 62.

The spelling of 190937537297 in words is "one hundred ninety billion, nine hundred thirty-seven million, five hundred thirty-seven thousand, two hundred ninety-seven".

Divisors: 1 13 17 37 169 221 233 481 593 629 2197 2873 3029 3961 6253 7709 8177 8621 10081 21941 37349 39377 51493 81289 100217 106301 112073 131053 138169 146557 285233 372997 511901 669409 1302821 1381913 1456949 1703689 1796197 1905241 2348873 3708029 4848961 5112253 8702317 18940337 22147957 23350561 24768133 30535349 48204377 63036493 66459289 86908301 303557293 321985729 396959537 819474409 863970757 1129807913 5160473981 11231619841 14687502869 190937537297