Search a number
-
+
39193143453990 = 23252915016530059
BaseRepresentation
bin10001110100101010111010…
…11001001010100100100110
312010202211100112222122102100
420322111131121022210212
520114120024211011430
6215205025340152530
711153416426416441
oct1072253531124446
9163684315878370
1039193143453990
111154079a797929
12448ba88538746
1318b3b88c61696
14996d5b69a658
1547e7849ea960
hex23a55d64a926

39193143453990 has 48 divisors (see below), whose sum is σ = 105416041021200. Its totient is φ = 10091108198976.

The previous prime is 39193143453949. The next prime is 39193143453991. The reversal of 39193143453990 is 9935434139193.

39193143453990 is a `hidden beast` number, since 3 + 9 + 1 + 9 + 3 + 1 + 4 + 3 + 4 + 539 + 90 = 666.

It is a super-2 number, since 2×391931434539902 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39193143453991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7508262420 + ... + 7508267639.

It is an arithmetic number, because the mean of its divisors is an integer number (2196167521275).

Almost surely, 239193143453990 is an apocalyptic number.

39193143453990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

39193143453990 is an abundant number, since it is smaller than the sum of its proper divisors (66222897567210).

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

39193143453990 is a wasteful number, since it uses less digits than its factorization.

39193143453990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15016530101 (or 15016530098 counting only the distinct ones).

The product of its (nonzero) digits is 42515280, while the sum is 63.

The spelling of 39193143453990 in words is "thirty-nine trillion, one hundred ninety-three billion, one hundred forty-three million, four hundred fifty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 15016530059 30033060118 45049590177 75082650295 90099180354 135148770531 150165300590 225247950885 270297541062 435479371711 450495901770 675743852655 870958743422 1306438115133 1351487705310 2177396858555 2612876230266 3919314345399 4354793717110 6532190575665 7838628690798 13064381151330 19596571726995 39193143453990