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40794408672 = 253538017769
BaseRepresentation
bin100101111111100010…
…010100011011100000
310220022000212200022220
4211333202110123200
51132021332034142
630423553431040
72642631516033
oct457742243340
9126260780286
1040794408672
1116334420036
127aa5b6b480
133b01828474
141d8dcbd01a
1510db6072ec
hex97f8946e0

40794408672 has 48 divisors (see below), whose sum is σ = 109105814160. Its totient is φ = 13341565952.

The previous prime is 40794408671. The next prime is 40794408673. The reversal of 40794408672 is 27680449704.

It is a happy number.

40794408672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40794408671) and next prime (40794408673).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40794408671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4003797 + ... + 4013972.

It is an arithmetic number, because the mean of its divisors is an integer number (2273037795).

Almost surely, 240794408672 is an apocalyptic number.

It is an amenable number.

40794408672 is an abundant number, since it is smaller than the sum of its proper divisors (68311405488).

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

40794408672 is a wasteful number, since it uses less digits than its factorization.

40794408672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8017835 (or 8017827 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 40794408672 in words is "forty billion, seven hundred ninety-four million, four hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 8017769 16035538 24053307 32071076 48106614 64142152 96213228 128284304 192426456 256568608 384852912 424941757 769705824 849883514 1274825271 1699767028 2549650542 3399534056 5099301084 6799068112 10198602168 13598136224 20397204336 40794408672