Search a number
-
+
31064407650 = 23252791735051
BaseRepresentation
bin11100111011100101…
…010011111001100010
32222011221011102011200
4130323211103321202
51002104442021100
622134254022030
72146543052103
oct347345237142
988157142150
1031064407650
11121a1059281
12602b4a7916
132c10a63503
1417099603aa
15c1c2cde00
hex73b953e62

31064407650 has 144 divisors (see below), whose sum is σ = 85021522560. Its totient is φ = 8130096000.

The previous prime is 31064407643. The next prime is 31064407657. The reversal of 31064407650 is 5670446013.

It is a happy number.

31064407650 is a `hidden beast` number, since 3 + 1 + 0 + 644 + 0 + 7 + 6 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31064407643) and next prime (31064407657).

It is not an unprimeable number, because it can be changed into a prime (31064407657) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6147625 + ... + 6152675.

It is an arithmetic number, because the mean of its divisors is an integer number (590427240).

Almost surely, 231064407650 is an apocalyptic number.

31064407650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31064407650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42510761280).

31064407650 is an abundant number, since it is smaller than the sum of its proper divisors (53957114910).

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

31064407650 is a wasteful number, since it uses less digits than its factorization.

31064407650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 31064407650 in words is "thirty-one billion, sixty-four million, four hundred seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 79 90 150 158 173 225 237 346 395 450 474 519 711 790 865 1038 1185 1422 1557 1730 1975 2370 2595 3114 3555 3950 4325 5051 5190 5925 7110 7785 8650 10102 11850 12975 13667 15153 15570 17775 25255 25950 27334 30306 35550 38925 41001 45459 50510 68335 75765 77850 82002 90918 123003 126275 136670 151530 205005 227295 246006 252550 341675 378825 399029 410010 454590 615015 683350 757650 798058 873823 1025025 1136475 1197087 1230030 1747646 1995145 2050050 2272950 2394174 2621469 3075075 3591261 3990290 4369115 5242938 5985435 6150150 7182522 7864407 8738230 9975725 11970870 13107345 15728814 17956305 19951450 21845575 26214690 29927175 35912610 39322035 43691150 59854350 65536725 69032017 78644070 89781525 131073450 138064034 179563050 196610175 207096051 345160085 393220350 414192102 621288153 690320170 1035480255 1242576306 1725800425 2070960510 3106440765 3451600850 5177401275 6212881530 10354802550 15532203825 31064407650