Search a number
-
+
990279736384 = 2653223472
BaseRepresentation
bin11100110100100010100…
…01011001110001000000
310111200002022000212112111
432122101101121301000
5112211043103031014
62034532255305104
7131355024606031
oct16322121316100
93450068025474
10990279736384
11351a80104a84
1213bb0a81b194
13724c9532a73
1435d03500a88
151ab5d2132c4
hexe691459c40

990279736384 has 63 divisors (see below), whose sum is σ = 2003716755957. Its totient is φ = 485590619904.

The previous prime is 990279736361. The next prime is 990279736387. The reversal of 990279736384 is 483637972099.

The square root of 990279736384 is 995128.

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., 713889806400 + 276389929984 = 844920^2 + 525728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (990279736387) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 421933099 + ... + 421935445.

Almost surely, 2990279736384 is an apocalyptic number.

990279736384 is the 995128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990279736384

990279736384 is an abundant number, since it is smaller than the sum of its proper divisors (1013437019573).

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

990279736384 is an frugal number, since it uses more digits than its factorization.

990279736384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4812 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 67.

The spelling of 990279736384 in words is "nine hundred ninety billion, two hundred seventy-nine million, seven hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2347 2809 3392 4694 5618 9388 11236 18776 22472 37552 44944 75104 89888 124391 150208 179776 248782 497564 995128 1990256 3980512 5508409 6592723 7961024 11016818 13185446 22033636 26370892 44067272 52741784 88134544 105483568 176269088 210967136 291945677 352538176 421934272 583891354 1167782708 2335565416 4671130832 9342261664 15473120881 18684523328 30946241762 61892483524 123784967048 247569934096 495139868192 990279736384