Search a number
-
+
31801884160 = 29517371807
BaseRepresentation
bin11101100111100010…
…100011111000000000
310001002022212002202111
4131213202203320000
51010112240243120
622335400425104
72204036361304
oct354742437000
9101068762674
1031801884160
111253a3752a2
1261b6478194
132cca794947
141779891d04
15c61e0575a
hex7678a3e00

31801884160 has 80 divisors (see below), whose sum is σ = 76691805696. Its totient is φ = 12647047168.

The previous prime is 31801884157. The next prime is 31801884187. The reversal of 31801884160 is 6148810813.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×318018841602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406977 + ... + 478783.

Almost surely, 231801884160 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 31801884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38345902848).

31801884160 is an abundant number, since it is smaller than the sum of its proper divisors (44889921536).

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

31801884160 is an equidigital number, since it uses as much as digits as its factorization.

31801884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72003 (or 71987 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 31801884160 in words is "thirty-one billion, eight hundred one million, eight hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 173 256 320 346 512 640 692 865 1280 1384 1730 2560 2768 3460 5536 6920 11072 13840 22144 27680 44288 55360 71807 88576 110720 143614 221440 287228 359035 442880 574456 718070 1148912 1436140 2297824 2872280 4595648 5744560 9191296 11489120 12422611 18382592 22978240 24845222 36765184 45956480 49690444 62113055 91912960 99380888 124226110 183825920 198761776 248452220 397523552 496904440 795047104 993808880 1590094208 1987617760 3180188416 3975235520 6360376832 7950471040 15900942080 31801884160