Search a number
-
+
31468149880 = 23517179263983
BaseRepresentation
bin11101010011101001…
…011101110001111000
310000020001212122101121
4131103221131301320
51003421321244010
622242315355024
72162544601126
oct352351356170
9100201778347
1031468149880
1112388a4a842
126122752a74
132c765b523b
14174741a916
15c429813da
hex753a5dc78

31468149880 has 128 divisors (see below), whose sum is σ = 75750681600. Its totient is φ = 11723917312.

The previous prime is 31468149851. The next prime is 31468149887. The reversal of 31468149880 is 8894186413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31468149887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32011869 + ... + 32012851.

It is an arithmetic number, because the mean of its divisors is an integer number (591802200).

Almost surely, 231468149880 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 31468149880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37875340800).

31468149880 is an abundant number, since it is smaller than the sum of its proper divisors (44282531720).

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

31468149880 is a wasteful number, since it uses less digits than its factorization.

31468149880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The spelling of 31468149880 in words is "thirty-one billion, four hundred sixty-eight million, one hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 179 263 340 358 526 680 716 895 983 1052 1315 1432 1790 1966 2104 2630 3043 3580 3932 4471 4915 5260 6086 7160 7864 8942 9830 10520 12172 15215 16711 17884 19660 22355 24344 30430 33422 35768 39320 44710 47077 60860 66844 83555 89420 94154 121720 133688 167110 175957 178840 188308 235385 258529 334220 351914 376616 470770 517058 668440 703828 800309 879785 941540 1034116 1292645 1407656 1600618 1759570 1883080 2068232 2585290 2991269 3201236 3519140 4001545 4394993 5170580 5982538 6402472 7038280 8003090 8789986 10341160 11965076 14956345 16006180 17579972 21974965 23930152 29912690 32012360 35159944 43949930 46276691 59825380 87899860 92553382 119650760 175799720 185106764 231383455 370213528 462766910 786703747 925533820 1573407494 1851067640 3146814988 3933518735 6293629976 7867037470 15734074940 31468149880