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819021403472 = 241741563130447
BaseRepresentation
bin10111110101100010111…
…10101101010101010000
32220022001000021011011112
423322301132231111100
5101404323434402342
61424130411032452
7113113054030556
oct13726136552520
92808030234145
10819021403472
11296388259758
1211289473b728
135c30599c2bc
142b8d86b1bd6
15164881a8682
hexbeb17ad550

819021403472 has 80 divisors (see below), whose sum is σ = 1724249140992. Its totient is φ = 375350538240.

The previous prime is 819021403457. The next prime is 819021403511. The reversal of 819021403472 is 274304120918.

It is a super-2 number, since 2×8190214034722 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6213353 + ... + 6343799.

Almost surely, 2819021403472 is an apocalyptic number.

819021403472 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819021403472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862124570496).

819021403472 is an abundant number, since it is smaller than the sum of its proper divisors (905227737520).

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

819021403472 is a wasteful number, since it uses less digits than its factorization.

819021403472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131076 (or 131070 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 819021403472 in words is "eight hundred nineteen billion, twenty-one million, four hundred three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 563 656 697 1126 1394 2252 2788 4504 5576 9008 9571 11152 19142 23083 38284 46166 76568 92332 130447 153136 184664 260894 369328 392411 521788 784822 1043576 1569644 2087152 2217599 3139288 4435198 5348327 6278576 8870396 10696654 17740792 21393308 35481584 42786616 73441661 85573232 90921559 146883322 181843118 293766644 363686236 587533288 727372472 1175066576 1248508237 1454744944 2497016474 3011108101 4994032948 6022216202 9988065896 12044432404 19976131792 24088864808 48177729616 51188837717 102377675434 204755350868 409510701736 819021403472