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742472101274247 = 33273110069193231
BaseRepresentation
bin1010100011010001100100000…
…1110110100010001010000111
310121100212122021022211011112000
42220310121001312202022013
51234304130330411233442
611151034550301200343
7312250560550560051
oct25064310166421207
93540778238734460
10742472101274247
111a5635716a63923
126b3340985600b3
1325b39a849801b6
14d14bbaccc28d1
155ac860adaad4c
hex2a34641da2287

742472101274247 has 16 divisors (see below), whose sum is σ = 1100361436392960. Its totient is φ = 494800155322200.

The previous prime is 742472101274221. The next prime is 742472101274269.

742472101274247 is a `hidden beast` number, since 7 + 4 + 2 + 472 + 1 + 0 + 127 + 4 + 2 + 47 = 666.

742472101274247 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 742472101274247 - 220 = 742472100225671 is a prime.

It is a super-2 number, since 2×7424721012742472 (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 742472101274193 and 742472101274202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742472101274347) 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, 5034522879 + ... + 5034670352.

It is an arithmetic number, because the mean of its divisors is an integer number (68772589774560).

Almost surely, 2742472101274247 is an apocalyptic number.

742472101274247 is a deficient number, since it is larger than the sum of its proper divisors (357889335118713).

742472101274247 is a wasteful number, since it uses less digits than its factorization.

742472101274247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10069195971 (or 10069195965 counting only the distinct ones).

The product of its (nonzero) digits is 9834496, while the sum is 54.

The spelling of 742472101274247 in words is "seven hundred forty-two trillion, four hundred seventy-two billion, one hundred one million, two hundred seventy-four thousand, two hundred forty-seven".

Divisors: 1 3 9 27 2731 8193 24579 73737 10069193231 30207579693 90622739079 271868217237 27498966713861 82496900141583 247490700424749 742472101274247