Search a number
-
+
794640042636 = 2231197354717497
BaseRepresentation
bin10111001000001000011…
…11001100101010001100
32210222002211102200202020
423210010033030222030
5101004410322331021
61405015205530140
7111260630626116
oct13440417145214
92728084380666
10794640042636
11287006651470
1210a00b413950
1359c1b68957b
142a6645643b6
1515a0c9867c6
hexb9043cca8c

794640042636 has 96 divisors (see below), whose sum is σ = 2044265862912. Its totient is φ = 238236733440.

The previous prime is 794640042631. The next prime is 794640042659. The reversal of 794640042636 is 636240046497.

It is a super-3 number, since 3×7946400426363 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (794640042631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45407040 + ... + 45424536.

It is an arithmetic number, because the mean of its divisors is an integer number (21294436072).

Almost surely, 2794640042636 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 794640042636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022132931456).

794640042636 is an abundant number, since it is smaller than the sum of its proper divisors (1249625820276).

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

794640042636 is a wasteful number, since it uses less digits than its factorization.

794640042636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21159 (or 21157 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 794640042636 in words is "seven hundred ninety-four billion, six hundred forty million, forty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 3547 4268 6402 7094 10641 12804 14188 17497 21282 34994 39017 42564 52491 69988 78034 104982 117051 156068 192467 209964 234102 344059 384934 468204 577401 688118 769868 1032177 1154802 1376236 1697209 2064354 2309604 3394418 3784649 4128708 5091627 6788836 7569298 10183254 11353947 15138596 18669299 20366508 22707894 37338598 45415788 56007897 62061859 74677196 112015794 124123718 186185577 224031588 248247436 372371154 682680449 744742308 1365360898 2048041347 2730721796 4096082694 6020000323 8192165388 12040000646 18060000969 24080001292 36120001938 66220003553 72240003876 132440007106 198660010659 264880014212 397320021318 794640042636