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39427399494 = 23272536171367
BaseRepresentation
bin100100101110000011…
…100101111101000110
310202202202121102021100
4210232003211331012
51121221403240434
630040202000530
72564022236400
oct445603457506
9122682542240
1039427399494
11157a281488a
1277841a6146
13394455b0b2
141ca0517b70
15105b5cc699
hex92e0e5f46

39427399494 has 144 divisors (see below), whose sum is σ = 101486387808. Its totient is φ = 11026439424.

The previous prime is 39427399493. The next prime is 39427399519. The reversal of 39427399494 is 49499372493.

39427399494 is a `hidden beast` number, since 3 + 9 + 427 + 39 + 94 + 94 = 666.

39427399494 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39427399493) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28841599 + ... + 28842965.

It is an arithmetic number, because the mean of its divisors is an integer number (704766582).

Almost surely, 239427399494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39427399494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50743193904).

39427399494 is an abundant number, since it is smaller than the sum of its proper divisors (62058988314).

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

39427399494 is a wasteful number, since it uses less digits than its factorization.

39427399494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2049 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 39427399494 in words is "thirty-nine billion, four hundred twenty-seven million, three hundred ninety-nine thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 53 63 98 106 126 147 159 294 318 371 441 477 617 742 882 954 1113 1234 1367 1851 2226 2597 2734 3339 3702 4101 4319 5194 5553 6678 7791 8202 8638 9569 11106 12303 12957 15582 19138 23373 24606 25914 28707 30233 32701 38871 46746 57414 60466 65402 66983 72451 77742 86121 90699 98103 133966 144902 172242 181398 196206 200949 217353 228907 272097 294309 401898 434706 457814 507157 544194 588618 602847 652059 686721 843439 1014314 1205694 1304118 1373442 1521471 1602349 1686878 2060163 2530317 3042942 3204698 3550099 4120326 4564413 4807047 5060634 5904073 7100198 7590951 9128826 9614094 10650297 11808146 14421141 15181902 17712219 21300594 28842282 31950891 35424438 41328511 44702267 53136657 63901782 82657022 89404534 106273314 123985533 134106801 247971066 268213602 312915869 371956599 402320403 625831738 743913198 804640806 938747607 1877495214 2190411083 2816242821 4380822166 5632485642 6571233249 13142466498 19713699747 39427399494