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30461468712640 = 265766592042179
BaseRepresentation
bin1101110110100010111010…
…00001011001111011000000
310222212002101010111021012121
412323101131001121323000
512443040041442301030
6144441445555134024
76262524406623040
oct673213501317300
9128762333437177
1030461468712640
1197846aaa61009
1234bb7782a4314
1313cc672893ab4
147744b30bd720
1537c58cd3e47a
hex1bb45d059ec0

30461468712640 has 112 divisors (see below), whose sum is σ = 82911201004800. Its totient is φ = 10442358623232.

The previous prime is 30461468712601. The next prime is 30461468712713. The reversal of 30461468712640 is 4621786416403.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×304614687126402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13895071 + ... + 15937249.

It is an arithmetic number, because the mean of its divisors is an integer number (740278580400).

Almost surely, 230461468712640 is an apocalyptic number.

It is an amenable number.

30461468712640 is an abundant number, since it is smaller than the sum of its proper divisors (52449732292160).

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

30461468712640 is a wasteful number, since it uses less digits than its factorization.

30461468712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048862 (or 2048852 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 30461468712640 in words is "thirty trillion, four hundred sixty-one billion, four hundred sixty-eight million, seven hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 6659 13318 26636 33295 46613 53272 66590 93226 106544 133180 186452 213088 233065 266360 372904 426176 466130 532720 745808 932260 1065440 1491616 1864520 2042179 2130880 2983232 3729040 4084358 7458080 8168716 10210895 14295253 14916160 16337432 20421790 28590506 32674864 40843580 57181012 65349728 71476265 81687160 114362024 130699456 142952530 163374320 228724048 285905060 326748640 457448096 571810120 653497280 914896192 1143620240 2287240480 4574480960 13598869961 27197739922 54395479844 67994349805 95192089727 108790959688 135988699610 190384179454 217581919376 271977399220 380768358908 435163838752 475960448635 543954798440 761536717816 870327677504 951920897270 1087909596880 1523073435632 1903841794540 2175819193760 3046146871264 3807683589080 4351638387520 6092293742528 7615367178160 15230734356320 30461468712640