Search a number
-
+
42907945690620 = 22325673557872777
BaseRepresentation
bin10011100000110010010001…
…10111000110010111111100
312121220221220111202211221200
421300121020313012113330
521111000433044044440
6231131345500255500
712015665615426103
oct1160311067062774
9177827814684850
1042907945690620
111274318080970a
12498ba20241590
131ac32817c42ca
14a84a8171d03a
154e6202a94c30
hex270648dc65fc

42907945690620 has 72 divisors (see below), whose sum is σ = 132096700501584. Its totient is φ = 11271340954368.

The previous prime is 42907945690607. The next prime is 42907945690639. The reversal of 42907945690620 is 2609654970924.

42907945690620 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 7 + 9 + 4 + 569 + 0 + 62 + 0 = 666.

42907945690620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×429079456906203 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1778924329 + ... + 1778948448.

Almost surely, 242907945690620 is an apocalyptic number.

It is an amenable number.

42907945690620 is an abundant number, since it is smaller than the sum of its proper divisors (89188754810964).

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

42907945690620 is a wasteful number, since it uses less digits than its factorization.

42907945690620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557872859 (or 3557872854 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 42907945690620 in words is "forty-two trillion, nine hundred seven billion, nine hundred forty-five million, six hundred ninety thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 3557872777 7115745554 10673618331 14231491108 17789363885 21347236662 32020854993 35578727770 42694473324 53368091655 64041709986 71157455540 106736183310 128083419972 160104274965 213472366620 238377476059 320208549930 476754952118 640417099860 715132428177 953509904236 1191887380295 1430264856354 2145397284531 2383774760590 2860529712708 3575662140885 4290794569062 4767549521180 7151324281770 8581589138124 10726986422655 14302648563540 21453972845310 42907945690620