Search a number
-
+
37869086941 = 7219137367809
BaseRepresentation
bin100011010001001011…
…000110100011011101
310121202011100221022121
4203101023012203131
51110023441240231
625221413542541
72510300633200
oct432113064335
9117664327277
1037869086941
1115073126574
12740a344a51
13375675cc6a
141b93595937
15eb98b5311
hex8d12c68dd

37869086941 has 48 divisors (see below), whose sum is σ = 46893945600. Its totient is φ = 30405570048.

The previous prime is 37869086917. The next prime is 37869086953. The reversal of 37869086941 is 14968096873.

It is not a de Polignac number, because 37869086941 - 25 = 37869086909 is a prime.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 37869086941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37869086971) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 46809345 + ... + 46810153.

It is an arithmetic number, because the mean of its divisors is an integer number (976957200).

Almost surely, 237869086941 is an apocalyptic number.

It is an amenable number.

37869086941 is a deficient number, since it is larger than the sum of its proper divisors (9024858659).

37869086941 is a wasteful number, since it uses less digits than its factorization.

37869086941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 37869086941 in words is "thirty-seven billion, eight hundred sixty-nine million, eighty-six thousand, nine hundred forty-one".

Divisors: 1 7 19 49 133 137 367 809 931 959 2569 2603 5663 6713 6973 15371 17983 18221 39641 48811 50279 107597 110833 127547 296903 341677 351953 753179 775831 955301 2078321 2105827 2463671 5430817 5641157 6687107 14548247 14740789 39488099 40675711 46809749 103185523 276416693 284729977 772838509 1993109839 5409869563 37869086941