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13335123976080 = 24351923127146491
BaseRepresentation
bin1100001000001101001101…
…0100111101111110010000
31202012211021201101102011120
43002003103110331332100
53221440313214213310
644210023230242240
72544300542401464
oct302032324757620
952184251342146
1013335123976080
1142814379250a5
1215b452a056380
1375965c5c760a
143415cdd064a4
15181d25714b70
hexc20d353df90

13335123976080 has 160 divisors (see below), whose sum is σ = 45406555223040. Its totient is φ = 3222400642560.

The previous prime is 13335123976043. The next prime is 13335123976117. The reversal of 13335123976080 is 8067932153331.

It is an interprime number because it is at equal distance from previous prime (13335123976043) and next prime (13335123976117).

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, 63468366 + ... + 63678125.

It is an arithmetic number, because the mean of its divisors is an integer number (283790970144).

Almost surely, 213335123976080 is an apocalyptic number.

13335123976080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13335123976080 is an abundant number, since it is smaller than the sum of its proper divisors (32071431246960).

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

13335123976080 is a wasteful number, since it uses less digits than its factorization.

13335123976080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127146549 (or 127146543 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 13335123976080 in words is "thirteen trillion, three hundred thirty-five billion, one hundred twenty-three million, nine hundred seventy-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 38 40 46 48 57 60 69 76 80 92 95 114 115 120 138 152 184 190 228 230 240 276 285 304 345 368 380 437 456 460 552 570 690 760 874 912 920 1104 1140 1311 1380 1520 1748 1840 2185 2280 2622 2760 3496 4370 4560 5244 5520 6555 6992 8740 10488 13110 17480 20976 26220 34960 52440 104880 127146491 254292982 381439473 508585964 635732455 762878946 1017171928 1271464910 1525757892 1907197365 2034343856 2415783329 2542929820 2924369293 3051515784 3814394730 4831566658 5085859640 5848738586 6103031568 7247349987 7628789460 8773107879 9663133316 10171719280 11697477172 12078916645 14494699974 14621846465 15257578920 17546215758 19326266632 23394954344 24157833290 28989399948 29243692930 30515157840 35092431516 36236749935 38652533264 43865539395 46789908688 48315666580 55563016567 57978799896 58487385860 70184863032 72473499870 87731078790 96631333160 111126033134 115957599792 116974771720 140369726064 144946999740 166689049701 175462157580 193262666320 222252066268 233949543440 277815082835 289893999480 333378099402 350924315160 444504132536 555630165670 579787998960 666756198804 701848630320 833445248505 889008265072 1111260331340 1333512397608 1666890497010 2222520662680 2667024795216 3333780994020 4445041325360 6667561988040 13335123976080