Search a number
-
+
79787020864 = 2653831671697
BaseRepresentation
bin100101001001110101…
…1010101001001000000
321121221111100121112211
41022103223111021000
52301400434131424
6100353104431504
75523124326115
oct1122353251100
9247844317484
1079787020864
1130923769771
1213568618594
1376a6c84c65
143c0c77890c
15211e94db94
hex1293ad5240

79787020864 has 112 divisors (see below), whose sum is σ = 164332603008. Its totient is φ = 38415024128.

The previous prime is 79787020801. The next prime is 79787020933. The reversal of 79787020864 is 46802078797.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 79787020799 and 79787020808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47015664 + ... + 47017360.

It is an arithmetic number, because the mean of its divisors is an integer number (1467255384).

Almost surely, 279787020864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79787020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82166301504).

79787020864 is an abundant number, since it is smaller than the sum of its proper divisors (84545582144).

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

79787020864 is a wasteful number, since it uses less digits than its factorization.

79787020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 58.

The spelling of 79787020864 in words is "seventy-nine billion, seven hundred eighty-seven million, twenty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 64 83 106 166 167 212 332 334 424 664 668 848 1328 1336 1696 1697 2656 2672 3392 3394 4399 5312 5344 6788 8798 8851 10688 13576 13861 17596 17702 27152 27722 35192 35404 54304 55444 70384 70808 89941 108608 110888 140768 140851 141616 179882 221776 281536 281702 283232 283399 359764 443552 563404 566464 566798 719528 734633 887104 1126808 1133596 1439056 1469266 2253616 2267192 2878112 2938532 4507232 4534384 5756224 5877064 7465103 9014464 9068768 11754128 14930206 15020147 18137536 23508256 23522117 29860412 30040294 47016512 47044234 59720824 60080588 94088468 119441648 120161176 188176936 238883296 240322352 376353872 477766592 480644704 752707744 961289408 1246672201 1505415488 2493344402 4986688804 9973377608 19946755216 39893510432 79787020864