Search a number
-
+
31816337136 = 24331149143503
BaseRepresentation
bin11101101000011001…
…101100011011110000
310001010100001101111220
4131220121230123300
51010124440242021
622341034305040
72204303255253
oct355031543360
9101110041456
1031816337136
1112547547001
1261bb288180
1330007852bc
14177b77509a
15c6330ccc6
hex76866c6f0

31816337136 has 80 divisors (see below), whose sum is σ = 85413580800. Its totient is φ = 10194382080.

The previous prime is 31816337093. The next prime is 31816337149. The reversal of 31816337136 is 63173361813.

It is a super-2 number, since 2×318163371362 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149961 + ... + 293463.

It is an arithmetic number, because the mean of its divisors is an integer number (1067669760).

Almost surely, 231816337136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31816337136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42706790400).

31816337136 is an abundant number, since it is smaller than the sum of its proper divisors (53597243664).

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

31816337136 is a wasteful number, since it uses less digits than its factorization.

31816337136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143694 (or 143688 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

Adding to 31816337136 its reverse (63173361813), we get a palindrome (94989698949).

The spelling of 31816337136 in words is "thirty-one billion, eight hundred sixteen million, three hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 149 186 248 298 372 447 496 596 744 894 1192 1488 1788 2384 3576 4619 7152 9238 13857 18476 27714 36952 55428 73904 110856 143503 221712 287006 430509 574012 861018 1148024 1722036 2296048 3444072 4448593 6888144 8897186 13345779 17794372 21381947 26691558 35588744 42763894 53383116 64145841 71177488 85527788 106766232 128291682 171055576 213532464 256583364 342111152 513166728 662840357 1026333456 1325680714 1988521071 2651361428 3977042142 5302722856 7954084284 10605445712 15908168568 31816337136