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20212563386008 = 23721725933116959
BaseRepresentation
bin1001001100010000110101…
…01010010001111010011000
32122120022011021222022211001
410212020122222101322120
510122130312211323013
6110553305021114344
74154211110005300
oct446103252217230
978508137868731
1020212563386008
116493111100084
1223253b66b89b4
13b380623b3a16
144dc416ad2600
15250b96264ddd
hex12621aa91e98

20212563386008 has 96 divisors (see below), whose sum is σ = 46681573449600. Its totient is φ = 8152582652928.

The previous prime is 20212563385999. The next prime is 20212563386009. The reversal of 20212563386008 is 80068336521202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212563386009) 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 23 ways as a sum of consecutive naturals, for example, 172759033 + ... + 172875991.

It is an arithmetic number, because the mean of its divisors is an integer number (486266390100).

Almost surely, 220212563386008 is an apocalyptic number.

20212563386008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20212563386008 is an abundant number, since it is smaller than the sum of its proper divisors (26469010063592).

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

20212563386008 is a wasteful number, since it uses less digits than its factorization.

20212563386008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142929 (or 142918 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

It can be divided in two parts, 20212563 and 386008, that added together give a triangular number (20598571 = T6418).

The spelling of 20212563386008 in words is "twenty trillion, two hundred twelve billion, five hundred sixty-three million, three hundred eighty-six thousand, eight".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 6664 25933 51866 103732 116959 181531 207464 233918 363062 440861 467836 726124 818713 881722 935672 1270717 1452248 1637426 1763444 1988303 2541434 3086027 3274852 3526888 3976606 5082868 5730991 6172054 6549704 7953212 10165736 11461982 12344108 13918121 15906424 21602189 22923964 24688216 27836242 43204378 45847928 55672484 86408756 97426847 111344968 172817512 194853694 389707388 779414776 3033097747 6066195494 12132390988 21231684229 24264781976 42463368458 51562661699 84926736916 103125323398 148621789603 169853473832 206250646796 297243579206 360938631893 412501293592 594487158412 721877263786 1188974316824 1443754527572 2526570423251 2887509055144 5053140846502 10106281693004 20212563386008