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272472211665120 = 25355548431023083
BaseRepresentation
bin111101111100111111100001…
…011000110011000011100000
31022201202002101220122201101110
4331330333201120303003200
5241203141042141240440
62403300001144503320
7111251316260361555
oct7574774130630340
91281662356581343
10272472211665120
11798aa8a8170435
1226686b3447ab40
13b9060335699bc
144b3da2274aa2c
152177962ce0080
hexf7cfe16330e0

272472211665120 has 96 divisors (see below), whose sum is σ = 858289852570752. Its totient is φ = 72659054469632.

The previous prime is 272472211665083. The next prime is 272472211665127. The reversal of 272472211665120 is 21566112274272.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2724722116651202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 272472211665120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272472211665127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265813099 + ... + 266836181.

It is an arithmetic number, because the mean of its divisors is an integer number (8940519297612).

Almost surely, 2272472211665120 is an apocalyptic number.

272472211665120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272472211665120 is an abundant number, since it is smaller than the sum of its proper divisors (585817640905632).

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

272472211665120 is a wasteful number, since it uses less digits than its factorization.

272472211665120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577944 (or 1577936 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 272472211665120 in words is "two hundred seventy-two trillion, four hundred seventy-two billion, two hundred eleven million, six hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 554843 1023083 1109686 1664529 2046166 2219372 2774215 3069249 3329058 4092332 4438744 5115415 5548430 6138498 6658116 8184664 8322645 8877488 10230830 11096860 12276996 13316232 15346245 16369328 16645290 17754976 20461660 22193720 24553992 26632464 30692490 32738656 33290580 40923320 44387440 49107984 53264928 61384980 66581160 81846640 88774880 98215968 122769960 133162320 163693280 245539920 266324640 491079840 567650440969 1135300881938 1702951322907 2270601763876 2838252204845 3405902645814 4541203527752 5676504409690 6811805291628 8514756614535 9082407055504 11353008819380 13623610583256 17029513229070 18164814111008 22706017638760 27247221166512 34059026458140 45412035277520 54494442333024 68118052916280 90824070555040 136236105832560 272472211665120