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42678477744 = 2437521243799
BaseRepresentation
bin100111101111110101…
…011110001110110000
311002011100002022012220
4213233311132032300
51144401142241434
631334535521040
73040420034550
oct475765361660
9132140068186
1042678477744
1117110985011
128330b29180
134041c71a36
1420cc1db160
15119bc19d49
hex9efd5e3b0

42678477744 has 80 divisors (see below), whose sum is σ = 126245491200. Its totient is φ = 12170396160.

The previous prime is 42678477739. The next prime is 42678477769. The reversal of 42678477744 is 44777487624.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 53157 + ... + 296955.

It is an arithmetic number, because the mean of its divisors is an integer number (1578068640).

Almost surely, 242678477744 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 42678477744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63122745600).

42678477744 is an abundant number, since it is smaller than the sum of its proper divisors (83567013456).

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

42678477744 is a wasteful number, since it uses less digits than its factorization.

42678477744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244338 (or 244332 counting only the distinct ones).

The product of its digits is 59006976, while the sum is 60.

The spelling of 42678477744 in words is "forty-two billion, six hundred seventy-eight million, four hundred seventy-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 521 1042 1563 2084 3126 3647 4168 6252 7294 8336 10941 12504 14588 21882 25008 29176 43764 58352 87528 175056 243799 487598 731397 975196 1462794 1706593 1950392 2925588 3413186 3900784 5119779 5851176 6826372 10239558 11702352 13652744 20479116 27305488 40958232 81916464 127019279 254038558 381057837 508077116 762115674 889134953 1016154232 1524231348 1778269906 2032308464 2667404859 3048462696 3556539812 5334809718 6096925392 7113079624 10669619436 14226159248 21339238872 42678477744