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40403789568 = 2832172813671
BaseRepresentation
bin100101101000010000…
…001110011100000000
310212021210212011122200
4211220100032130000
51130221332231233
630321121233200
72630146354602
oct455020163400
9125253764580
1040403789568
111615398212a
1279b7192800
133a6b91c9bc
141d5407b172
1510b7198313
hex96840e700

40403789568 has 216 divisors, whose sum is σ = 123819355296. Its totient is φ = 12627148800.

The previous prime is 40403789549. The next prime is 40403789593. The reversal of 40403789568 is 86598730404.

40403789568 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 3 + 78 + 9 + 568 = 666.

It is a super-2 number, since 2×404037895682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11004373 + ... + 11008043.

It is an arithmetic number, because the mean of its divisors is an integer number (573237756).

Almost surely, 240403789568 is an apocalyptic number.

40403789568 is a gapful number since it is divisible by the number (48) 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 40403789568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61909677648).

40403789568 is an abundant number, since it is smaller than the sum of its proper divisors (83415565728).

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

40403789568 is a wasteful number, since it uses less digits than its factorization.

40403789568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40403789568 in words is "forty billion, four hundred three million, seven hundred eighty-nine thousand, five hundred sixty-eight".