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4216061423025 = 345210324432
BaseRepresentation
bin111101010110100000110…
…101111110110110110001
3112221001101120101012210000
4331112200311332312301
51023033443211014100
612544455404100213
7613412634542244
oct75264065766661
915831346335700
104216061423025
1113860268406a1
12581126534669
1324775a8286ca
141080b65c125b
1574a09509900
hex3d5a0d7edb1

4216061423025 has 135 divisors (see below), whose sum is σ = 7904002580859. Its totient is φ = 2221708862880.

The previous prime is 4216061423017. The next prime is 4216061423047. The reversal of 4216061423025 is 5203241606124.

The square root of 4216061423025 is 2053305.

It is a perfect power (a square), and thus also a powerful number.

4216061423025 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 0 + 614 + 2 + 30 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1517782112289 + 2698279310736 = 1231983^2 + 1642644^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 4216061423025 - 23 = 4216061423017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9517068454 + ... + 9517068896.

Almost surely, 24216061423025 is an apocalyptic number.

4216061423025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4216061423025 is the 2053305-th square number.

4216061423025 is the 1026653-rd centered octagonal number.

It is an amenable number.

4216061423025 is a deficient number, since it is larger than the sum of its proper divisors (3687941157834).

4216061423025 is an frugal number, since it uses more digits than its factorization.

4216061423025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 4216061423025 by its sum of digits (36), we get a square (151778211228900 = 123198302).

The spelling of 4216061423025 in words is "four trillion, two hundred sixteen billion, sixty-one million, four hundred twenty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 103 135 225 309 405 443 515 675 927 1329 1545 2025 2215 2575 2781 3987 4635 6645 7725 8343 10609 11075 11961 13905 19935 23175 31827 33225 35883 41715 45629 53045 59805 69525 95481 99675 136887 159135 179415 196249 208575 228145 265225 286443 299025 410661 477405 588747 684435 795675 859329 897075 981245 1140725 1231983 1432215 1766241 2053305 2387025 2943735 3422175 3695949 4296645 4699787 4906225 5298723 6159915 7161075 8831205 10266525 14099361 14718675 15896169 18479745 20213647 21483225 23498935 26493615 30799575 42298083 44156025 60640941 70496805 79480845 92398725 101068235 117494675 126894249 132468075 181922823 211490415 303204705 352484025 380682747 397404225 505341175 545768469 634471245 909614115 1057452075 1516023525 1637305407 1903413735 2082005641 2728842345 3172356225 4548070575 6246016923 8186527035 9517068675 10410028205 13644211725 18738050769 31230084615 40932635175 52050141025 56214152307 93690253845 156150423075 168642456921 281070761535 468451269225 843212284605 1405353807675 4216061423025