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797242964742 = 232779643124561
BaseRepresentation
bin10111001100111110110…
…00100011101100000110
32211012211020021211121200
423212133120203230012
5101030223144332432
61410125351323330
7111412265250240
oct13463730435406
92735736254550
10797242964742
11288121962364
1210a617080546
135a244a13573
142a830127090
1515b11242a7c
hexb99f623b06

797242964742 has 96 divisors (see below), whose sum is σ = 2002239482880. Its totient is φ = 224548796160.

The previous prime is 797242964723. The next prime is 797242964803. The reversal of 797242964742 is 247469242797.

797242964742 is a `hidden beast` number, since 7 + 9 + 72 + 4 + 2 + 96 + 474 + 2 = 666.

It is a super-2 number, since 2×7972429647422 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 797242964742.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6338142 + ... + 6462702.

It is an arithmetic number, because the mean of its divisors is an integer number (20856661280).

Almost surely, 2797242964742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797242964742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001119741440).

797242964742 is an abundant number, since it is smaller than the sum of its proper divisors (1204996518138).

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

797242964742 is a wasteful number, since it uses less digits than its factorization.

797242964742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125298 (or 125295 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 797242964742 in words is "seven hundred ninety-seven billion, two hundred forty-two million, nine hundred sixty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 643 711 1106 1286 1422 1659 1929 3318 3858 4501 4977 5787 9002 9954 11574 13503 27006 40509 50797 81018 101594 124561 152391 249122 304782 355579 373683 457173 711158 747366 871927 914346 1066737 1121049 1743854 2133474 2242098 2615781 3200211 5231562 6400422 7847343 9840319 15694686 19680638 29520957 59041914 68882233 80092723 88562871 137764466 160185446 177125742 206646699 240278169 413293398 480556338 560649061 619940097 720834507 1121298122 1239880194 1441669014 1681947183 3363894366 5045841549 6327325117 10091683098 12654650234 18981975351 37963950702 44291275819 56945926053 88582551638 113891852106 132873827457 265747654914 398621482371 797242964742