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42645000448 = 28616740759
BaseRepresentation
bin100111101101110101…
…110001000100000000
311002002000002111000001
4213231311301010000
51144314110003243
631331342205344
73036532344241
oct475565610400
9132060074001
1042645000448
11170a3a9a026
128321883854
13403805009b
1420c79a4cc8
151198d05a4d
hex9edd71100

42645000448 has 72 divisors (see below), whose sum is σ = 87812365760. Its totient is φ = 20659415040.

The previous prime is 42645000443. The next prime is 42645000451. The reversal of 42645000448 is 84400054624.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42645000443) 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, 1025893 + ... + 1066651.

Almost surely, 242645000448 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 42645000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43906182880).

42645000448 is an abundant number, since it is smaller than the sum of its proper divisors (45167365312).

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

42645000448 is an equidigital number, since it uses as much as digits as its factorization.

42645000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40903 (or 40889 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

The spelling of 42645000448 in words is "forty-two billion, six hundred forty-five million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 61 64 67 122 128 134 244 256 268 488 536 976 1072 1952 2144 3904 4087 4288 7808 8174 8576 15616 16348 17152 32696 40759 65392 81518 130784 163036 261568 326072 523136 652144 1046272 1304288 2486299 2608576 2730853 4972598 5217152 5461706 9945196 10434304 10923412 19890392 21846824 39780784 43693648 79561568 87387296 159123136 166582033 174774592 318246272 333164066 349549184 636492544 666328132 699098368 1332656264 2665312528 5330625056 10661250112 21322500224 42645000448