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5421211416 = 23366831361
BaseRepresentation
bin1010000110010000…
…10001111100011000
3111222210222002000000
411003020101330120
542100312231131
62253535213000
7251225352045
oct50310217430
914883862000
105421211416
112332150415
121073677160
136851b8b0a
14395dc81cc
1521ae09ce6
hex143211f18

5421211416 has 112 divisors (see below), whose sum is σ = 15273713160. Its totient is φ = 1803098880.

The previous prime is 5421211357. The next prime is 5421211421. The reversal of 5421211416 is 6141121245.

5421211416 is a `hidden beast` number, since 542 + 1 + 2 + 114 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5421211416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3982576 + ... + 3983936.

Almost surely, 25421211416 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 5421211416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7636856580).

5421211416 is an abundant number, since it is smaller than the sum of its proper divisors (9852501744).

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

5421211416 is a wasteful number, since it uses less digits than its factorization.

5421211416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2049 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 5421211416 is about 73628.8762375197. The cubic root of 5421211416 is about 1756.7047734597.

The spelling of 5421211416 in words is "five billion, four hundred twenty-one million, two hundred eleven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 683 729 972 1361 1366 1458 1944 2049 2722 2732 2916 4083 4098 5444 5464 5832 6147 8166 8196 10888 12249 12294 16332 16392 18441 24498 24588 32664 36747 36882 48996 49176 55323 73494 73764 97992 110241 110646 146988 147528 165969 220482 221292 293976 330723 331938 440964 442584 497907 661446 663876 881928 929563 992169 995814 1322892 1327752 1859126 1984338 1991628 2645784 2788689 3718252 3968676 3983256 5577378 7436504 7937352 8366067 11154756 16732134 22309512 25098201 33464268 50196402 66928536 75294603 100392804 150589206 200785608 225883809 301178412 451767618 602356824 677651427 903535236 1355302854 1807070472 2710605708 5421211416