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8019290412 = 22337212312
BaseRepresentation
bin1110111011111110…
…01010100100101100
3202200212201011101000
413131333022210230
5112410414243122
63403425120300
7402503562300
oct73577124454
922625634330
108019290412
113445753641
121679789090
139aa538573
14561089d00
1531e05b0ac
hex1ddfca92c

8019290412 has 108 divisors (see below), whose sum is σ = 24204824280. Its totient is φ = 2289364560.

The previous prime is 8019290407. The next prime is 8019290417. The reversal of 8019290412 is 2140929108.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (8019290407) and next prime (8019290417).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8019290417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6513837 + ... + 6515067.

Almost surely, 28019290412 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 8019290412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12102412140).

8019290412 is an abundant number, since it is smaller than the sum of its proper divisors (16185533868).

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

8019290412 is a wasteful number, since it uses less digits than its factorization.

8019290412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8019290412 is about 89550.4908529261. The cubic root of 8019290412 is about 2001.6062439781.

The spelling of 8019290412 in words is "eight billion, nineteen million, two hundred ninety thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1231 1323 1764 2462 2646 3693 4924 5292 7386 8617 11079 14772 17234 22158 25851 33237 34468 44316 51702 60319 66474 77553 103404 120638 132948 155106 180957 232659 241276 310212 361914 465318 542871 723828 930636 1085742 1515361 1628613 2171484 3030722 3257226 4546083 6061444 6514452 9092166 10607527 13638249 18184332 21215054 27276498 31822581 40914747 42430108 54552996 63645162 74252689 81829494 95467743 127290324 148505378 163658988 190935486 222758067 286403229 297010756 381870972 445516134 572806458 668274201 891032268 1145612916 1336548402 2004822603 2673096804 4009645206 8019290412