Search a number
-
+
31248800064 = 263254251389
BaseRepresentation
bin11101000110100100…
…101101100101000000
32222122210010112000100
4131012210231211000
51002444143100224
622204442122400
72154242263236
oct350644554500
988583115010
1031248800064
1112286150aa9
1260811b0400
132c40014751
14172623c956
15c2d5a3ac9
hex74692d940

31248800064 has 42 divisors (see below), whose sum is σ = 89569044890. Its totient is φ = 10416266496.

The previous prime is 31248800059. The next prime is 31248800101. The reversal of 31248800064 is 46000884213.

It can be written as a sum of positive squares in only one way, i.e., 24261177600 + 6987622464 = 155760^2 + 83592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27125119 + ... + 27126270.

Almost surely, 231248800064 is an apocalyptic number.

It is an amenable number.

31248800064 is an abundant number, since it is smaller than the sum of its proper divisors (58320244826).

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

31248800064 is a wasteful number, since it uses less digits than its factorization.

31248800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54251407 (or 54251394 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 31248800064 in words is "thirty-one billion, two hundred forty-eight million, eight hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 54251389 108502778 162754167 217005556 325508334 434011112 488262501 651016668 868022224 976525002 1302033336 1736044448 1953050004 2604066672 3472088896 3906100008 5208133344 7812200016 10416266688 15624400032 31248800064