Search a number
-
+
31506196880 = 2451378633331
BaseRepresentation
bin11101010101111010…
…100110100110010000
310000022201110122001202
4131111322212212100
51004011041300010
622250155050332
72163516153254
oct352572464620
9100281418052
1031506196880
11123a8477044
1261334409a8
132c81446b62
14174c4c2264
15c45e996a5
hex755ea6990

31506196880 has 80 divisors (see below), whose sum is σ = 73894270464. Its totient is φ = 12492241920.

The previous prime is 31506196873. The next prime is 31506196933. The reversal of 31506196880 is 8869160513.

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

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, 9456815 + ... + 9460145.

Almost surely, 231506196880 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 31506196880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36947135232).

31506196880 is an abundant number, since it is smaller than the sum of its proper divisors (42388073584).

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

31506196880 is a wasteful number, since it uses less digits than its factorization.

31506196880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 31506196880 in words is "thirty-one billion, five hundred six million, one hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 863 1096 1370 1726 2192 2740 3331 3452 4315 5480 6662 6904 8630 10960 13324 13808 16655 17260 26648 33310 34520 53296 66620 69040 118231 133240 236462 266480 456347 472924 591155 912694 945848 1182310 1825388 1891696 2281735 2364620 2874653 3650776 4563470 4729240 5749306 7301552 9126940 9458480 11498612 14373265 18253880 22997224 28746530 36507760 45994448 57493060 114986120 229972240 393827461 787654922 1575309844 1969137305 3150619688 3938274610 6301239376 7876549220 15753098440 31506196880