Search a number
-
+
31547970430564 = 227261265772
BaseRepresentation
bin1110010110001010101011…
…00100100010011001100100
311010200221211022011020222011
413023011111210202121210
513113340220412234224
6151032534301444004
76434160055062400
oct713052544423144
9133627738136864
1031547970430564
11a063467943985
12365625b570604
13147ac64c971c3
147b0d03992100
1539a97d764394
hex1cb155922664

31547970430564 has 81 divisors (see below), whose sum is σ = 65302672945419. Its totient is φ = 13296888218880.

The previous prime is 31547970430547. The next prime is 31547970430597. The reversal of 31547970430564 is 46503407974513.

The square root of 31547970430564 is 5616758.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 214934232100 + 31333036198464 = 463610^2 + 5597592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31547970430499 and 31547970430508.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4796708044 + ... + 4796714620.

Almost surely, 231547970430564 is an apocalyptic number.

31547970430564 is the 5616758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31547970430564

31547970430564 is an abundant number, since it is smaller than the sum of its proper divisors (33754702514855).

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

31547970430564 is an frugal number, since it uses more digits than its factorization.

31547970430564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13294 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 58.

The spelling of 31547970430564 in words is "thirty-one trillion, five hundred forty-seven billion, nine hundred seventy million, four hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 2989 3721 5978 6577 7442 11956 13154 14884 26047 26308 46039 52094 92078 104188 182329 184156 322273 364658 401197 644546 729316 802394 1289092 1604788 2808379 5616758 11233516 19658653 24473017 39317306 43256929 48946034 78634612 86513858 97892068 171311119 173027716 302798503 342622238 605597006 685244476 1199177833 1211194012 2119589521 2398355666 2638672669 4239179042 4796711332 5277345338 8478358084 10554690676 18470708683 36941417366 73882834732 129294960781 160959032809 258589921562 321918065618 517179843124 643836131236 1126713229663 2253426459326 4506852918652 7886992607641 15773985215282 31547970430564