Search a number
-
+
39153942972 = 22341735919801
BaseRepresentation
bin100100011101110000…
…011100000110111100
310202001201001101110000
4210131300130012330
51120141402133342
625553112514300
72554162011144
oct443560340674
9122051041400
1039153942972
111567241a961
1277086ab990
1338cc9c4bc1
141c76093924
1510425b344c
hex91dc1c1bc

39153942972 has 120 divisors (see below), whose sum is σ = 108684465120. Its totient is φ = 12248755200.

The previous prime is 39153942967. The next prime is 39153943019. The reversal of 39153942972 is 27924935193.

39153942972 is a `hidden beast` number, since 39 + 1 + 539 + 4 + 2 + 9 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 1967472 + ... + 1987272.

It is an arithmetic number, because the mean of its divisors is an integer number (905703876).

Almost surely, 239153942972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39153942972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54342232560).

39153942972 is an abundant number, since it is smaller than the sum of its proper divisors (69530522148).

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

39153942972 is a wasteful number, since it uses less digits than its factorization.

39153942972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20193 (or 20182 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 39153942972 in words is "thirty-nine billion, one hundred fifty-three million, nine hundred forty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 359 459 612 718 918 1077 1377 1436 1836 2154 2754 3231 4308 5508 6103 6462 9693 12206 12924 18309 19386 19801 24412 29079 36618 38772 39602 54927 58158 59403 73236 79204 109854 116316 118806 164781 178209 219708 237612 329562 336617 356418 494343 534627 659124 673234 712836 988686 1009851 1069254 1346468 1603881 1977372 2019702 2138508 3029553 3207762 4039404 6059106 6415524 7108559 9088659 12118212 14217118 18177318 21325677 27265977 28434236 36354636 42651354 54531954 63977031 85302708 109063908 120845503 127954062 191931093 241691006 255908124 362536509 383862186 483382012 575793279 725073018 767724372 1087609527 1151586558 1450146036 2175219054 2303173116 3262828581 4350438108 6525657162 9788485743 13051314324 19576971486 39153942972