Search a number
-
+
795792004080 = 24356595031563
BaseRepresentation
bin10111001010010001110…
…01100101001111110000
32211002002010001101202220
423211020321211033300
5101014240223112310
61405325400241040
7111331316266233
oct13451071451760
92732063041686
10795792004080
11287547927117
1210a291170180
135a073231368
142a73354b41a
1515a78b83670
hexb948e653f0

795792004080 has 80 divisors (see below), whose sum is σ = 2470699186560. Its totient is φ = 211889138944.

The previous prime is 795792004067. The next prime is 795792004087. The reversal of 795792004080 is 80400297597.

795792004080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795792004087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2357622 + ... + 2673941.

It is an arithmetic number, because the mean of its divisors is an integer number (30883739832).

Almost surely, 2795792004080 is an apocalyptic number.

It is an amenable number.

795792004080 is an abundant number, since it is smaller than the sum of its proper divisors (1674907182480).

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

795792004080 is a wasteful number, since it uses less digits than its factorization.

795792004080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032238 (or 5032232 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 795792004080 in words is "seven hundred ninety-five billion, seven hundred ninety-two million, four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 659 1318 1977 2636 3295 3954 5272 6590 7908 9885 10544 13180 15816 19770 26360 31632 39540 52720 79080 158160 5031563 10063126 15094689 20126252 25157815 30189378 40252504 50315630 60378756 75473445 80505008 100631260 120757512 150946890 201262520 241515024 301893780 402525040 603787560 1207575120 3315800017 6631600034 9947400051 13263200068 16579000085 19894800102 26526400136 33158000170 39789600204 49737000255 53052800272 66316000340 79579200408 99474000510 132632000680 159158400816 198948001020 265264001360 397896002040 795792004080