Search a number
-
+
997156867200 = 2735213233741229
BaseRepresentation
bin11101000001010110010…
…11100100110010000000
310112022211120120022111020
432200223023210302000
5112314134124222300
62042030524145440
7132020322344064
oct16405313446200
93468746508436
10997156867200
1135498a06816a
12141309998280
1373054248b40
14363969d5aa4
151ae11d5b8a0
hexe82b2e4c80

997156867200 has 1536 divisors, whose sum is σ = 3899975385600. Its totient is φ = 221891788800.

The previous prime is 997156867193. The next prime is 997156867261. The reversal of 997156867200 is 2768651799.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4354396686 + ... + 4354396914.

It is an arithmetic number, because the mean of its divisors is an integer number (2539046475).

Almost surely, 2997156867200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997156867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949987692800).

997156867200 is an abundant number, since it is smaller than the sum of its proper divisors (2902818518400).

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

997156867200 is a wasteful number, since it uses less digits than its factorization.

997156867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 997156867200 in words is "nine hundred ninety-seven billion, one hundred fifty-six million, eight hundred sixty-seven thousand, two hundred".