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16427145312612 = 2233237390591541
BaseRepresentation
bin1110111100001011111000…
…1010010011100101100100
32011011102100000000221012000
43233002332022103211210
54123120243200000422
654534305410325300
73313551655200546
oct357027612234544
964142300027160
1016427145312612
115263793301a21
121a13835889830
139220c49546b8
1440b11434b696
151d74939aecac
hexef0be293964

16427145312612 has 96 divisors (see below), whose sum is σ = 45049362005760. Its totient is φ = 5165891976960.

The previous prime is 16427145312593. The next prime is 16427145312671. The reversal of 16427145312612 is 21621354172461.

It is a happy number.

16427145312612 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 7 + 14 + 5 + 3 + 12 + 612 = 666.

It is a super-2 number, since 2×164271453126122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45114439 + ... + 45477102.

It is an arithmetic number, because the mean of its divisors is an integer number (469264187560).

Almost surely, 216427145312612 is an apocalyptic number.

16427145312612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16427145312612 is an abundant number, since it is smaller than the sum of its proper divisors (28622216693148).

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

16427145312612 is a wasteful number, since it uses less digits than its factorization.

16427145312612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90591650 (or 90591642 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 16427145312612 in words is "sixteen trillion, four hundred twenty-seven billion, one hundred forty-five million, three hundred twelve thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 73 92 108 138 146 207 219 276 292 414 438 621 657 828 876 1242 1314 1679 1971 2484 2628 3358 3942 5037 6716 7884 10074 15111 20148 30222 45333 60444 90666 181332 90591541 181183082 271774623 362366164 543549246 815323869 1087098492 1630647738 2083605443 2445971607 3261295476 4167210886 4891943214 6250816329 6613182493 8334421772 9783886428 12501632658 13226364986 18752448987 19839547479 25003265316 26452729972 37504897974 39679094958 56257346961 59518642437 75009795948 79358189916 112514693922 119037284874 152103197339 178555927311 225029387844 238074569748 304206394678 357111854622 456309592017 608412789356 714223709244 912619184034 1368928776051 1825238368068 2737857552102 4106786328153 5475715104204 8213572656306 16427145312612