Search a number
-
+
21420634928 = 2471142141299
BaseRepresentation
bin10011111100110001…
…001111001100110000
32001021211201000000012
4103330301033030300
5322332140304203
613501314314052
71355552251460
oct237461171460
961254630005
1021420634928
1190a2432080
124199888928
132034acc814
141072c49ba0
15855839bd8
hex4fcc4f330

21420634928 has 80 divisors (see below), whose sum is σ = 51867513600. Its totient is φ = 8325676800.

The previous prime is 21420634909. The next prime is 21420634973. The reversal of 21420634928 is 82943602412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498023 + ... + 539321.

It is an arithmetic number, because the mean of its divisors is an integer number (648343920).

Almost surely, 221420634928 is an apocalyptic number.

21420634928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21420634928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25933756800).

21420634928 is an abundant number, since it is smaller than the sum of its proper divisors (30446878672).

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

21420634928 is a wasteful number, since it uses less digits than its factorization.

21420634928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41746 (or 41740 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 21420634928 in words is "twenty-one billion, four hundred twenty million, six hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 421 616 842 1232 1684 2947 3368 4631 5894 6736 9262 11788 18524 23576 32417 37048 41299 47152 64834 74096 82598 129668 165196 259336 289093 330392 454289 518672 578186 660784 908578 1156372 1817156 2312744 3180023 3634312 4625488 6360046 7268624 12720092 17386879 25440184 34773758 50880368 69547516 121708153 139095032 191255669 243416306 278190064 382511338 486832612 765022676 973665224 1338789683 1530045352 1947330448 2677579366 3060090704 5355158732 10710317464 21420634928