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39900264336 = 2434291061629
BaseRepresentation
bin100101001010001111…
…011011011110010000
310210222201101102220000
4211022033123132100
51123203431424321
630155133050000
72611523436162
oct451217333620
9123881342800
1039900264336
1115a15728179
127896626900
1339bb50218a
141d07248932
151087d85826
hex94a3db790

39900264336 has 100 divisors (see below), whose sum is σ = 119465223900. Its totient is φ = 12841452288.

The previous prime is 39900264319. The next prime is 39900264337. The reversal of 39900264336 is 63346200993.

39900264336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 33656103936 + 6244160400 = 183456^2 + 79020^2 .

It is a junction number, because it is equal to n+sod(n) for n = 39900264291 and 39900264300.

It is not an unprimeable number, because it can be changed into a prime (39900264337) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 493231 + ... + 568398.

It is an arithmetic number, because the mean of its divisors is an integer number (1194652239).

Almost surely, 239900264336 is an apocalyptic number.

39900264336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

39900264336 is an abundant number, since it is smaller than the sum of its proper divisors (79564959564).

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

39900264336 is a wasteful number, since it uses less digits than its factorization.

39900264336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061678 (or 1061663 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 39900264336 in words is "thirty-nine billion, nine hundred million, two hundred sixty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3132 4176 4698 6264 9396 12528 18792 37584 1061629 2123258 3184887 4246516 6369774 8493032 9554661 12739548 16986064 19109322 25479096 28663983 30787241 38218644 50958192 57327966 61574482 76437288 85991949 92361723 114655932 123148964 152874576 171983898 184723446 229311864 246297928 277085169 343967796 369446892 458623728 492595856 554170338 687935592 738893784 831255507 1108340676 1375871184 1477787568 1662511014 2216681352 2493766521 3325022028 4433362704 4987533042 6650044056 9975066084 13300088112 19950132168 39900264336