Search a number
-
+
4076946520317 = 3311373206317839
BaseRepresentation
bin111011010100111100111…
…100101111100011111101
3112102202022102010221021000
4323110330330233203331
51013244041302122232
612400531241000513
7600356351432436
oct73247474574375
915382272127230
104076946520317
111332029030220
1255a181183139
132375ba442b28
1410147a75048d
15710b636e27c
hex3b53cf2f8fd

4076946520317 has 64 divisors (see below), whose sum is σ = 6610242355200. Its totient is φ = 2462919773760.

The previous prime is 4076946520313. The next prime is 4076946520321. The reversal of 4076946520317 is 7130256496704.

4076946520317 is a `hidden beast` number, since 4 + 0 + 7 + 69 + 46 + 520 + 3 + 17 = 666.

It is an interprime number because it is at equal distance from previous prime (4076946520313) and next prime (4076946520321).

It is not a de Polignac number, because 4076946520317 - 22 = 4076946520313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4076946520313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228532284 + ... + 228550122.

It is an arithmetic number, because the mean of its divisors is an integer number (103285036800).

Almost surely, 24076946520317 is an apocalyptic number.

It is an amenable number.

4076946520317 is a deficient number, since it is larger than the sum of its proper divisors (2533295834883).

4076946520317 is a wasteful number, since it uses less digits than its factorization.

4076946520317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20295 (or 20289 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 4076946520317 in words is "four trillion, seventy-six billion, nine hundred forty-six million, five hundred twenty thousand, three hundred seventeen".

Divisors: 1 3 9 11 27 33 99 297 373 1119 2063 3357 4103 6189 10071 12309 17839 18567 22693 36927 53517 55701 68079 110781 160551 196229 204237 481653 588687 612711 769499 1766061 2308497 5298183 6653947 6925491 8464489 19961841 20776473 25393467 36801857 59885523 73193417 76180401 110405571 179656569 219580251 228541203 331216713 404820427 658740753 993650139 1214461281 1976222259 3643383843 10930151529 13727092661 41181277983 123543833949 150998019271 370631501847 452994057813 1358982173439 4076946520317