Search a number
-
+
13480014168 = 2334137317479
BaseRepresentation
bin11001000110111100…
…01011000101011000
31021210110000200010000
430203132023011120
5210101340423133
610105335253000
7655022141565
oct144336130530
937713020100
1013480014168
115798131185
12274251a160
13136a979c5a
1491c3db86c
1553d66d413
hex32378b158

13480014168 has 160 divisors (see below), whose sum is σ = 38231740800. Its totient is φ = 4437186048.

The previous prime is 13480014131. The next prime is 13480014173. The reversal of 13480014168 is 86141008431.

It is a happy number.

13480014168 is a `hidden beast` number, since 1 + 3 + 480 + 0 + 14 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28141753 + ... + 28142231.

It is an arithmetic number, because the mean of its divisors is an integer number (238948380).

Almost surely, 213480014168 is an apocalyptic number.

13480014168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13480014168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19115870400).

13480014168 is an abundant number, since it is smaller than the sum of its proper divisors (24751726632).

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

13480014168 is a wasteful number, since it uses less digits than its factorization.

13480014168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13480014168 in words is "thirteen billion, four hundred eighty million, fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 137 162 216 274 317 324 411 479 548 634 648 822 951 958 1096 1233 1268 1437 1644 1902 1916 2466 2536 2853 2874 3288 3699 3804 3832 4311 4932 5706 5748 7398 7608 8559 8622 9864 11097 11412 11496 12933 14796 17118 17244 22194 22824 25677 25866 29592 34236 34488 38799 43429 44388 51354 51732 65623 68472 77598 86858 88776 102708 103464 130287 131246 151843 155196 173716 196869 205416 260574 262492 303686 310392 347432 390861 393738 455529 521148 524984 590607 607372 781722 787476 911058 1042296 1172583 1181214 1214744 1366587 1563444 1574952 1771821 1822116 2345166 2362428 2733174 3126888 3517749 3543642 3644232 4099761 4690332 4724856 5315463 5466348 7035498 7087284 8199522 9380664 10630926 10932696 12299283 14070996 14174568 16399044 20802491 21261852 24598566 28141992 32798088 41604982 42523704 49197132 62407473 83209964 98394264 124814946 166419928 187222419 249629892 374444838 499259784 561667257 748889676 1123334514 1497779352 1685001771 2246669028 3370003542 4493338056 6740007084 13480014168