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21403279842 = 2373143431887
BaseRepresentation
bin10011111011101111…
…000010000111100010
32001020122001021022020
4103323233002013202
5322313214423332
613455454322310
71355251606530
oct237357020742
961218037266
1021403279842
119093658a2a
124193ab9396
132031334239
14107080d150
1585405c82c
hex4fbbc21e2

21403279842 has 128 divisors (see below), whose sum is σ = 51852607488. Its totient is φ = 5760417600.

The previous prime is 21403279841. The next prime is 21403279883. The reversal of 21403279842 is 24897230412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 21403279794 and 21403279803.

It is not an unprimeable number, because it can be changed into a prime (21403279841) 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 63 ways as a sum of consecutive naturals, for example, 24129523 + ... + 24130409.

It is an arithmetic number, because the mean of its divisors is an integer number (405098496).

Almost surely, 221403279842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21403279842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25926303744).

21403279842 is an abundant number, since it is smaller than the sum of its proper divisors (30449327646).

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

21403279842 is a wasteful number, since it uses less digits than its factorization.

21403279842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 21403279842 in words is "twenty-one billion, four hundred three million, two hundred seventy-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 43 62 86 93 129 186 217 258 301 431 434 602 651 862 887 903 1293 1302 1333 1774 1806 2586 2661 2666 3017 3999 5322 6034 6209 7998 9051 9331 12418 13361 18102 18533 18627 18662 26722 27497 27993 37066 37254 38141 40083 54994 55599 55986 76282 80166 82491 93527 111198 114423 129731 164982 187054 192479 228846 259462 266987 280581 382297 384958 389193 533974 561162 574523 577437 764594 778386 800961 1146891 1149046 1154874 1182371 1601922 1723569 2293782 2364742 2676079 3447138 3547113 4021661 5352158 7094226 8028237 8043322 8276597 11851207 12064983 16056474 16438771 16553194 23702414 24129966 24829791 32877542 35553621 49316313 49659582 71107242 82958449 98632626 115071397 165916898 230142794 248875347 345214191 497750694 509601901 690428382 1019203802 1528805703 3057611406 3567213307 7134426614 10701639921 21403279842