Search a number
-
+
379149062607 = 327113197409661
BaseRepresentation
bin1011000010001110000…
…10111001000111001111
31100020122112212000002100
411201013002321013033
522202444130000412
6450102332130143
736251444600040
oct5410702710717
91306575760070
10379149062607
11136883841537
1261594306953
13299a4887873
14144cac928c7
159ce10e2edc
hex58470b91cf

379149062607 has 96 divisors (see below), whose sum is σ = 637155192960. Its totient is φ = 212804444160.

The previous prime is 379149062563. The next prime is 379149062609. The reversal of 379149062607 is 706260941973.

It is a happy number.

379149062607 is a `hidden beast` number, since 3 + 7 + 9 + 1 + 4 + 9 + 0 + 626 + 0 + 7 = 666.

It is not a de Polignac number, because 379149062607 - 28 = 379149062351 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379149062609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 573598857 + ... + 573599517.

It is an arithmetic number, because the mean of its divisors is an integer number (6637033260).

Almost surely, 2379149062607 is an apocalyptic number.

379149062607 is a deficient number, since it is larger than the sum of its proper divisors (258006130353).

379149062607 is a wasteful number, since it uses less digits than its factorization.

379149062607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 379149062607 in words is "three hundred seventy-nine billion, one hundred forty-nine million, sixty-two thousand, six hundred seven".

Divisors: 1 3 7 9 21 63 113 197 339 409 591 661 791 1017 1227 1379 1773 1983 2373 2863 3681 4137 4627 5949 7119 8589 12411 13881 22261 25767 41643 46217 66783 74693 80573 130217 138651 155827 200349 224079 241719 270349 323519 390651 415953 467481 522851 564011 672237 725157 811047 911519 970557 1171953 1402443 1568553 1692033 1892443 2433141 2734557 2911671 4705659 5076099 5677329 8203671 9104749 14714521 17031987 27314247 30549437 44143563 53258753 63733243 81942741 91648311 103001647 132430689 159776259 191199729 213846059 274944933 309004941 372811271 479328777 573599187 641538177 927014823 1118433813 1924614531 3355301439 6018239089 18054717267 42127673623 54164151801 126383020869 379149062607