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215053072616020 = 2256123139232337
BaseRepresentation
bin110000111001011011110010…
…000000000100101001010100
31001012102212120101110200020011
4300321123302000010221110
5211141412143042203040
62041214003453250004
763204033421353232
oct6071336200045124
91035385511420204
10215053072616020
1162582550084861
1220152886a93904
1392cc5579a9062
143b168a4d35952
1519ce055bd33ea
hexc396f2004a54

215053072616020 has 72 divisors (see below), whose sum is σ = 460603226216952. Its totient is φ = 84340713000960.

The previous prime is 215053072616017. The next prime is 215053072616021. The reversal of 215053072616020 is 20616270350512.

It can be written as a sum of positive squares in 12 ways, for example, as 213399857836944 + 1653214779076 = 14608212^2 + 1285774^2 .

It is a super-3 number, since 3×2150530726160203 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215053072616021) 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 23 ways as a sum of consecutive naturals, for example, 18677292 + ... + 27909628.

It is an arithmetic number, because the mean of its divisors is an integer number (6397267030791).

Almost surely, 2215053072616020 is an apocalyptic number.

215053072616020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215053072616020 is an abundant number, since it is smaller than the sum of its proper divisors (245550153600932).

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

215053072616020 is a wasteful number, since it uses less digits than its factorization.

215053072616020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232781 (or 9232718 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 215053072616020 in words is "two hundred fifteen trillion, fifty-three billion, seventy-two million, six hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 313 610 626 1220 1252 1565 3130 3721 6260 7442 14884 18605 19093 37210 38186 74420 76372 95465 190930 381860 1164673 2329346 4658692 5823365 9232337 11646730 18464674 23293460 36929348 46161685 92323370 184646740 563172557 1126345114 2252690228 2815862785 2889721481 5631725570 5779442962 11263451140 11558885924 14448607405 28897214810 34353525977 57794429620 68707051954 137414103908 171767629885 176273010341 343535259770 352546020682 687070519540 705092041364 881365051705 1762730103410 3525460206820 10752653630801 21505307261602 43010614523204 53763268154005 107526536308010 215053072616020