Search a number
-
+
972506146038 = 237191218679381
BaseRepresentation
bin11100010011011011110…
…00100010010011110110
310102222012121212221011120
432021231320202103312
5111413143033133123
62022432501444410
7130155415564260
oct16115570422366
93388177787146
10972506146038
1134548a403539
1213858a410706
13709261a54bb
14350d8bacb30
151a46cb7e2e3
hexe26de224f6

972506146038 has 32 divisors (see below), whose sum is σ = 2339864413440. Its totient is φ = 263234746080.

The previous prime is 972506146037. The next prime is 972506146081. The reversal of 972506146038 is 830641605279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972506146033) 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, 609338893 + ... + 609340488.

It is an arithmetic number, because the mean of its divisors is an integer number (73120762920).

It is a 1-persistent number, because it is pandigital, but 2⋅972506146038 = 1945012292076 is not.

Almost surely, 2972506146038 is an apocalyptic number.

972506146038 is an abundant number, since it is smaller than the sum of its proper divisors (1367358267402).

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

972506146038 is a wasteful number, since it uses less digits than its factorization.

972506146038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218679412.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 972506146038 in words is "nine hundred seventy-two billion, five hundred six million, one hundred forty-six thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1218679381 2437358762 3656038143 7312076286 8530755667 17061511334 23154908239 25592267001 46309816478 51184534002 69464724717 138929449434 162084357673 324168715346 486253073019 972506146038