Search a number
-
+
59155111207696 = 2474392412
BaseRepresentation
bin11010111001101000111110…
…11000111110001100010000
321202110011200102001212012111
431130310133120332030100
530223144131432121241
6325451252151235104
715313546541620000
oct1534643730761420
9252404612055174
1059155111207696
11179375a6119359
1267747a7078a94
1327013c2a5996a
1410871a0810000
156c8b609dcc81
hex35cd1f63e310

59155111207696 has 75 divisors (see below), whose sum is σ = 133710650791413. Its totient is φ = 25351544453760.

The previous prime is 59155111207693. The next prime is 59155111207733. The reversal of 59155111207696 is 69670211155195.

The square root of 59155111207696 is 7691236.

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

It can be written as a sum of positive squares in only one way, i.e., 14222220967696 + 44932890240000 = 3771236^2 + 6703200^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 59155111207696.

It is not an unprimeable number, because it can be changed into a prime (59155111207691) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1507462636 + ... + 1507501876.

Almost surely, 259155111207696 is an apocalyptic number.

59155111207696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

59155111207696 is the 7691236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59155111207696

59155111207696 is an abundant number, since it is smaller than the sum of its proper divisors (74555539583717).

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

59155111207696 is an frugal number, since it uses more digits than its factorization.

59155111207696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78518 (or 39250 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 58.

The spelling of 59155111207696 in words is "fifty-nine trillion, one hundred fifty-five billion, one hundred eleven million, two hundred seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2401 2744 4802 5488 9604 19208 38416 39241 78482 156964 274687 313928 549374 627856 1098748 1922809 2197496 3845618 4394992 7691236 13459663 15382472 26919326 30764944 53838652 94217641 107677304 188435282 215354608 376870564 753741128 1507482256 1539856081 3079712162 6159424324 10778992567 12318848648 21557985134 24637697296 43115970268 75452947969 86231940536 150905895938 172463881072 301811791876 528170635783 603623583752 1056341271566 1207247167504 2112682543132 3697194450481 4225365086264 7394388900962 8450730172528 14788777801924 29577555603848 59155111207696