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71684015217072 = 24326474357129491
BaseRepresentation
bin10000010011001000111100…
…010000110101100110110000
3100101210220222021100111010020
4100103020330100311212300
533343432330343421242
6412243103150003440
721045666502553646
oct2023107420654660
9311726867314106
1071684015217072
1120928024878705
128058a137a6580
1330cca0988362b
14139b74c283196
158449ebd276ec
hex41323c4359b0

71684015217072 has 80 divisors (see below), whose sum is σ = 185297615407872. Its totient is φ = 23879978115840.

The previous prime is 71684015217037. The next prime is 71684015217079. The reversal of 71684015217072 is 27071251048617.

It is not an unprimeable number, because it can be changed into a prime (71684015217079) 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 15 ways as a sum of consecutive naturals, for example, 553518247 + ... + 553647737.

Almost surely, 271684015217072 is an apocalyptic number.

It is an amenable number.

71684015217072 is an abundant number, since it is smaller than the sum of its proper divisors (113613600190800).

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

71684015217072 is a wasteful number, since it uses less digits than its factorization.

71684015217072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136506 (or 136500 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 51.

The spelling of 71684015217072 in words is "seventy-one trillion, six hundred eighty-four billion, fifteen million, two hundred seventeen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2647 4357 5294 7941 8714 10588 13071 15882 17428 21176 26142 31764 34856 42352 52284 63528 69712 104568 127056 129491 209136 258982 388473 517964 776946 1035928 1553892 2071856 3107784 6215568 11532979 23065958 34598937 46131916 69197874 92263832 138395748 184527664 276791496 342762677 553582992 564192287 685525354 1028288031 1128384574 1371050708 1692576861 2056576062 2256769148 2742101416 3385153722 4113152124 4513538296 5484202832 6770307444 8226304248 9027076592 13540614888 16452608496 27081229776 1493416983689 2986833967378 4480250951067 5973667934756 8960501902134 11947335869512 17921003804268 23894671739024 35842007608536 71684015217072