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38099916864 = 263427112
BaseRepresentation
bin100011011110111011…
…101001100001000000
310122100020201022110000
4203132323221201000
51111012034314424
625300341240000
72516102643552
oct433673514100
9118306638400
1038099916864
11151814564a9
127473703000
13379251cc09
141bb60c14d2
15ececae3c9
hex8deee9840

38099916864 has 105 divisors (see below), whose sum is σ = 112981764511. Its totient is φ = 12695287680.

The previous prime is 38099916857. The next prime is 38099916893. The reversal of 38099916864 is 46861999083.

It is a happy number.

The square root of 38099916864 is 195192.

It is a perfect power (a square), and thus also a powerful number.

38099916864 is a `hidden beast` number, since 380 + 9 + 99 + 168 + 6 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14052469 + ... + 14055179.

Almost surely, 238099916864 is an apocalyptic number.

38099916864 is the 195192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38099916864

38099916864 is an abundant number, since it is smaller than the sum of its proper divisors (74881847647).

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

38099916864 is an frugal number, since it uses more digits than its factorization.

38099916864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 38099916864 in words is "thirty-eight billion, ninety-nine million, nine hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 2711 5184 5422 8133 10844 16266 21688 24399 32532 43376 48798 65064 73197 86752 97596 130128 146394 173504 195192 219591 260256 292788 390384 439182 520512 585576 780768 878364 1171152 1561536 1756728 2342304 3513456 4684608 7026912 7349521 14053824 14699042 22048563 29398084 44097126 58796168 66145689 88194252 117592336 132291378 176388504 198437067 235184672 264582756 352777008 396874134 470369344 529165512 595311201 705554016 793748268 1058331024 1190622402 1411108032 1587496536 2116662048 2381244804 3174993072 4233324096 4762489608 6349986144 9524979216 12699972288 19049958432 38099916864