Search a number
-
+
190092417564 = 22375342698207
BaseRepresentation
bin1011000100001001100…
…1000001101000011100
3200011122212102100102210
42301002121001220130
511103302124330224
6223154404120420
716506444614010
oct2610231015034
9604585370383
10190092417564
1173688239945
1230a11696110
1314c0581c16a
1492b4338540
154e2876e429
hex2c42641a1c

190092417564 has 48 divisors (see below), whose sum is σ = 516477523968. Its totient is φ = 53287361088.

The previous prime is 190092417563. The next prime is 190092417587. The reversal of 190092417564 is 465714290091.

It is a happy number.

190092417564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1900924175642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190092417563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21344652 + ... + 21353555.

It is an arithmetic number, because the mean of its divisors is an integer number (10759948416).

Almost surely, 2190092417564 is an apocalyptic number.

190092417564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

190092417564 is an abundant number, since it is smaller than the sum of its proper divisors (326385106404).

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

190092417564 is a wasteful number, since it uses less digits than its factorization.

190092417564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42698274 (or 42698272 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 190092417564 in words is "one hundred ninety billion, ninety-two million, four hundred seventeen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 42698207 85396414 128094621 170792828 256189242 298887449 512378484 597774898 896662347 1195549796 1793324694 2263004971 3586649388 4526009942 6789014913 9052019884 13578029826 15841034797 27156059652 31682069594 47523104391 63364139188 95046208782 190092417564