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42647474624 = 266710198473
BaseRepresentation
bin100111101101111111…
…001101000111000000
311002002011202011221012
4213231333031013000
51144320223141444
631331511220052
73036562360466
oct475577150700
9132064664835
1042647474624
11170a54299a7
128322677628
1340387082b1
1420c804a836
151199143b9e
hex9edfcd1c0

42647474624 has 56 divisors (see below), whose sum is σ = 86742989328. Its totient is φ = 20797286400.

The previous prime is 42647474593. The next prime is 42647474641.

42647474624 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383852 + ... + 482324.

Almost surely, 242647474624 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 42647474624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43371494664).

42647474624 is an abundant number, since it is smaller than the sum of its proper divisors (44095514704).

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

42647474624 is a wasteful number, since it uses less digits than its factorization.

42647474624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98653 (or 98643 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 50.

The spelling of 42647474624 in words is "forty-two billion, six hundred forty-seven million, four hundred seventy-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 67 101 134 202 268 404 536 808 1072 1616 2144 3232 4288 6464 6767 13534 27068 54136 98473 108272 196946 216544 393892 433088 787784 1575568 3151136 6302272 6597691 9945773 13195382 19891546 26390764 39783092 52781528 79566184 105563056 159132368 211126112 318264736 422252224 636529472 666366791 1332733582 2665467164 5330934328 10661868656 21323737312 42647474624