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4791379068162 = 235311132814389
BaseRepresentation
bin100010110111001010001…
…1100101000010100000010
3121222001101110000201200000
41011232110130220110002
51112000221020140122
614105043521540430
71003110561046101
oct105562434502402
917861343021600
104791379068162
111588015633705
126547271a4716
13289a959b7abb
14127c92766038
158497c4ec0ac
hex45b94728502

4791379068162 has 96 divisors (see below), whose sum is σ = 11211449034240. Its totient is φ = 1531927676160.

The previous prime is 4791379068139. The next prime is 4791379068169. The reversal of 4791379068162 is 2618609731974.

4791379068162 is a `hidden beast` number, since 47 + 9 + 1 + 379 + 0 + 68 + 162 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4791379068162.

It is not an unprimeable number, because it can be changed into a prime (4791379068169) 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 47 ways as a sum of consecutive naturals, for example, 295264 + ... + 3109652.

It is an arithmetic number, because the mean of its divisors is an integer number (116785927440).

Almost surely, 24791379068162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4791379068162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605724517120).

4791379068162 is an abundant number, since it is smaller than the sum of its proper divisors (6420069966078).

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

4791379068162 is a wasteful number, since it uses less digits than its factorization.

4791379068162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814550 (or 2814538 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 4791379068162 in words is "four trillion, seven hundred ninety-one billion, three hundred seventy-nine million, sixty-eight thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 113 162 186 226 243 279 339 486 558 678 837 1017 1674 2034 2511 3051 3503 5022 6102 7006 7533 9153 10509 15066 18306 21018 27459 31527 54918 63054 94581 189162 283743 567486 851229 1702458 2814389 5628778 8443167 16886334 25329501 50659002 75988503 87246059 151977006 174492118 227965509 261738177 318025957 455931018 523476354 636051914 683896527 785214531 954077871 1367793054 1570429062 1908155742 2355643593 2862233613 4711287186 5724467226 7066930779 8586700839 9858804667 14133861558 17173401678 19717609334 21200792337 25760102517 29576414001 42401584674 51520205034 59152828002 77280307551 88729242003 154560615102 177458484006 266187726009 532375452018 798563178027 1597126356054 2395689534081 4791379068162