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42049708287552 = 2632747596435849
BaseRepresentation
bin10011000111110011101011…
…11011001110011001000000
312111212220122110200111122200
421203321311323032121000
521002420300310200202
6225233211434233200
711566663654032660
oct1143716573163100
9174786573614580
1042049708287552
11124421aa105039
124871622285800
131a60369313024
14a55306a421a0
154cdc21b6ae1c
hex263e75ece640

42049708287552 has 672 divisors, whose sum is σ = 143308279296000. Its totient is φ = 11539332734976.

The previous prime is 42049708287533. The next prime is 42049708287557. The reversal of 42049708287552 is 25578280794024.

42049708287552 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 9 + 70 + 8 + 2 + 8 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 42049708287552.

It is not an unprimeable number, because it can be changed into a prime (42049708287557) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7189210324 + ... + 7189216172.

It is an arithmetic number, because the mean of its divisors is an integer number (213256368000).

Almost surely, 242049708287552 is an apocalyptic number.

42049708287552 is a gapful number since it is divisible by the number (42) 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 42049708287552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71654139648000).

42049708287552 is an abundant number, since it is smaller than the sum of its proper divisors (101258571008448).

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

42049708287552 is a wasteful number, since it uses less digits than its factorization.

42049708287552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 42049708287552 in words is "forty-two trillion, forty-nine billion, seven hundred eight million, two hundred eighty-seven thousand, five hundred fifty-two".