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21354161004 = 223311174710289
BaseRepresentation
bin10011111000110011…
…101010001101101100
32001010012121202221000
4103320303222031230
5322213131123004
613450541440300
71354114242111
oct237063521554
961105552830
1021354161004
11906895a250
12417b570090
1320240c6c37
1410680a4908
1584eaa8c39
hex4f8cea36c

21354161004 has 96 divisors (see below), whose sum is σ = 60436051200. Its totient is φ = 6466625280.

The previous prime is 21354160999. The next prime is 21354161011. The reversal of 21354161004 is 40016145312.

It is a happy number.

21354161004 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 41 + 610 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2070292 + ... + 2080580.

It is an arithmetic number, because the mean of its divisors is an integer number (629542200).

Almost surely, 221354161004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21354161004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30218025600).

21354161004 is an abundant number, since it is smaller than the sum of its proper divisors (39081890196).

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

21354161004 is a wasteful number, since it uses less digits than its factorization.

21354161004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12060 (or 12052 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 21354161004 in words is "twenty-one billion, three hundred fifty-four million, one hundred sixty-one thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1747 3494 5241 6988 10289 10482 15723 19217 20578 20964 30867 31446 38434 41156 47169 57651 61734 62892 76868 92601 94338 113179 115302 123468 172953 185202 188676 226358 230604 277803 339537 345906 370404 452716 518859 555606 679074 691812 1018611 1037718 1111212 1358148 2037222 2075436 3055833 4074444 6111666 12223332 17974883 35949766 53924649 71899532 107849298 161773947 197723713 215698596 323547894 395447426 485321841 593171139 647095788 790894852 970643682 1186342278 1779513417 1941287364 2372684556 3559026834 5338540251 7118053668 10677080502 21354161004