Search a number
-
+
37364900313 = 3134720384561
BaseRepresentation
bin100010110011000111…
…110010000111011001
310120110000122121021210
4202303013302013121
51103010403302223
625055403253333
72461636261266
oct426307620731
9116400577253
1037364900313
111493456a704
1272a951a249
1336a6170390
141b4663026d
15e8a4c1893
hex8b31f21d9

37364900313 has 16 divisors (see below), whose sum is σ = 54793702656. Its totient is φ = 22504554240.

The previous prime is 37364900299. The next prime is 37364900317. The reversal of 37364900313 is 31300946373.

It is a happy number.

37364900313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 37364900313 - 26 = 37364900249 is a prime.

It is a super-2 number, since 2×373649003132 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (37364900317) 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, 10190448 + ... + 10194113.

It is an arithmetic number, because the mean of its divisors is an integer number (3424606416).

Almost surely, 237364900313 is an apocalyptic number.

It is an amenable number.

37364900313 is a deficient number, since it is larger than the sum of its proper divisors (17428802343).

37364900313 is a wasteful number, since it uses less digits than its factorization.

37364900313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20384624.

The product of its (nonzero) digits is 122472, while the sum is 39.

The spelling of 37364900313 in words is "thirty-seven billion, three hundred sixty-four million, nine hundred thousand, three hundred thirteen".

Divisors: 1 3 13 39 47 141 611 1833 20384561 61153683 264999293 794997879 958074367 2874223101 12454966771 37364900313