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4694672764964 = 227131011051121501
BaseRepresentation
bin100010001010001000001…
…0011010111000000100100
3121121210202211001112000202
41010110100103113000210
51103404142211434324
613552411454130032
7663115240041140
oct104242023270044
917553684045022
104694672764964
11154aaaa427786
12639a384b0918
132809236916a0
1412331ad20220
15821bc51c8ae
hex445104d7024

4694672764964 has 96 divisors (see below), whose sum is σ = 10221518076672. Its totient is φ = 1837080000000.

The previous prime is 4694672764963. The next prime is 4694672765017.

4694672764964 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4694672764891 and 4694672764900.

It is not an unprimeable number, because it can be changed into a prime (4694672764963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38578214 + ... + 38699714.

It is an arithmetic number, because the mean of its divisors is an integer number (106474146632).

Almost surely, 24694672764964 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 4694672764964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110759038336).

4694672764964 is an abundant number, since it is smaller than the sum of its proper divisors (5526845311708).

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

4694672764964 is a wasteful number, since it uses less digits than its factorization.

4694672764964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122677 (or 122675 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 74.

The spelling of 4694672764964 in words is "four trillion, six hundred ninety-four billion, six hundred seventy-two million, seven hundred sixty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 404 707 1051 1313 1414 2102 2626 2828 4204 5252 7357 9191 13663 14714 18382 27326 29428 36764 54652 95641 106151 121501 191282 212302 243002 382564 424604 486004 743057 850507 1379963 1486114 1579513 1701014 2759926 2972228 3159026 3402028 5519852 6318052 9659741 11056591 12271601 19319482 22113182 24543202 38638964 44226364 49086404 85901207 127697551 159530813 171802414 255395102 319061626 343604828 510790204 638123252 893882857 1116715691 1660068163 1787765714 2233431382 3320136326 3575531428 4466862764 6640272652 11620477141 12897452651 23240954282 25794905302 46481908564 51589810604 90282168557 167666884463 180564337114 335333768926 361128674228 670667537852 1173668191241 2347336382482 4694672764964