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7042420907536 = 2472947772
BaseRepresentation
bin110011001111011000011…
…1111110001111000010000
3220221020201102101100200211
41212132300333301320100
51410340334223020121
622551124332453504
71324540520013400
oct146366077617020
926836642340624
107042420907536
112275746009013
12958a5061a294
133c1136107051
141a4bd8146800
15c32c99dbce1
hex667b0ff1e10

7042420907536 has 45 divisors (see below), whose sum is σ = 15872562553869. Its totient is φ = 3018148543872.

The previous prime is 7042420907519. The next prime is 7042420907551. The reversal of 7042420907536 is 6357090242407.

The square root of 7042420907536 is 2653756.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1032784387600 + 6009636519936 = 1016260^2 + 2451456^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 7042420907536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74257780 + ... + 74352556.

Almost surely, 27042420907536 is an apocalyptic number.

7042420907536 is the 2653756-th square number.

It is an amenable number.

7042420907536 is an abundant number, since it is smaller than the sum of its proper divisors (8830141646333).

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

7042420907536 is an frugal number, since it uses more digits than its factorization.

7042420907536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189576 (or 94786 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

Multiplying 7042420907536 by its sum of digits (49), we get a square (345078624469264 = 185762922).

7042420907536 divided by its sum of digits (49) gives a square (143722875664 = 3791082).

The spelling of 7042420907536 in words is "seven trillion, forty-two billion, four hundred twenty million, nine hundred seven thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 94777 189554 379108 663439 758216 1326878 1516432 2653756 4644073 5307512 9288146 10615024 18576292 37152584 74305168 8982679729 17965359458 35930718916 62878758103 71861437832 125757516206 143722875664 251515032412 440151306721 503030064824 880302613442 1006060129648 1760605226884 3521210453768 7042420907536