Search a number
-
+
312049600996 = 2272399012
BaseRepresentation
bin1001000101001111001…
…10110000100111100100
31002211110021101011212111
410202213212300213210
520103034144212441
6355204213530404
731354610562400
oct4424746604744
91084407334774
10312049600996
11110380956931
1250588943a04
132357033c023
1411163592100
1581b547b081
hex48a79b09e4

312049600996 has 27 divisors (see below), whose sum is σ = 635259751497. Its totient is φ = 133732191600.

The previous prime is 312049600927. The next prime is 312049601041. The reversal of 312049600996 is 699006940213.

The square root of 312049600996 is 558614.

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., 13015615396 + 299033985600 = 114086^2 + 546840^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7800646 + ... + 7840546.

Almost surely, 2312049600996 is an apocalyptic number.

312049600996 is the 558614-th square number.

It is an amenable number.

312049600996 is an abundant number, since it is smaller than the sum of its proper divisors (323210150501).

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

312049600996 is an frugal number, since it uses more digits than its factorization.

312049600996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79820 (or 39910 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

Multiplying 312049600996 by its sum of digits (49), we get a square (15290430448804 = 39102982).

312049600996 divided by its sum of digits (49) gives a square (6368359204 = 798022).

The spelling of 312049600996 in words is "three hundred twelve billion, forty-nine million, six hundred thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 39901 79802 159604 279307 558614 1117228 1955149 3910298 7820596 1592089801 3184179602 6368359204 11144628607 22289257214 44578514428 78012400249 156024800498 312049600996