Search a number
-
+
21739040576 = 261191933601
BaseRepresentation
bin10100001111101111…
…110110111101000000
32002010000211200102222
4110033233312331000
5324010143244301
613553051030212
71366466540021
oct241757667500
962100750388
1021739040576
119246137a40
12426843b368
132085a73126
1410a3250c48
1587378231b
hex50fbf6f40

21739040576 has 56 divisors (see below), whose sum is σ = 47112692160. Its totient is φ = 9870336000.

The previous prime is 21739040573. The next prime is 21739040579. The reversal of 21739040576 is 67504093712.

It is an interprime number because it is at equal distance from previous prime (21739040573) and next prime (21739040579).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21739040573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630176 + ... + 663776.

Almost surely, 221739040576 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 21739040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23556346080).

21739040576 is an abundant number, since it is smaller than the sum of its proper divisors (25373651584).

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

21739040576 is a wasteful number, since it uses less digits than its factorization.

21739040576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34543 (or 34533 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 21739040576 in words is "twenty-one billion, seven hundred thirty-nine million, forty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 919 1838 3676 7352 10109 14704 20218 29408 33601 40436 58816 67202 80872 134404 161744 268808 323488 369611 537616 646976 739222 1075232 1478444 2150464 2956888 5913776 11827552 23655104 30879319 61758638 123517276 247034552 339672509 494069104 679345018 988138208 1358690036 1976276416 2717380072 5434760144 10869520288 21739040576