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13790416529164 = 22117322926969697
BaseRepresentation
bin1100100010101101010011…
…1000001110011100001100
31210211100110211122111201211
43020223110320032130030
53301420233112413124
645155121353544204
72622216243265252
oct310532470163414
953740424574654
1013790416529164
114437534684a60
121668812715064
1379057a325592
143596616925d2
1518dac1446e94
hexc8ad4e0e70c

13790416529164 has 96 divisors (see below), whose sum is σ = 26904375892800. Its totient is φ = 6132534312960.

The previous prime is 13790416529143. The next prime is 13790416529173. The reversal of 13790416529164 is 46192561409731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13790416529099 and 13790416529108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197827564 + ... + 197897260.

It is an arithmetic number, because the mean of its divisors is an integer number (280253915550).

Almost surely, 213790416529164 is an apocalyptic number.

It is an amenable number.

13790416529164 is a deficient number, since it is larger than the sum of its proper divisors (13113959363636).

13790416529164 is a wasteful number, since it uses less digits than its factorization.

13790416529164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70283 (or 70281 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 13790416529164 in words is "thirteen trillion, seven hundred ninety billion, four hundred sixteen million, five hundred twenty-nine thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 44 73 146 229 269 292 458 538 803 916 1076 1606 2519 2959 3212 5038 5918 10076 11836 16717 19637 33434 39274 61601 66868 69697 78548 123202 139394 183887 216007 246404 278788 367774 432014 677611 735548 766667 864028 1355222 1533334 2710444 3066668 4496873 5087881 8993746 10175762 15960613 17987492 18748493 20351524 31921226 37496986 49465603 55966691 63842452 74993972 98931206 111933382 175566743 197862412 206233423 223866764 351133486 412466846 702266972 824933692 1165124749 1368639989 2330249498 2737279978 4293404897 4660498996 5474559956 8586809794 12816372239 15055039879 17173619588 25632744478 30110079758 47227453867 51265488956 60220159516 94454907734 188909815468 313418557481 626837114962 1253674229924 3447604132291 6895208264582 13790416529164