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38398686816 = 2537251227653
BaseRepresentation
bin100011110000101111…
…010111011001100000
310200010001220101202210
4203300233113121200
51112120030434231
625350133042120
72526361311150
oct436057273140
9120101811683
1038398686816
111531506a816
127537786340
13380c3a9b79
141c03a54760
15eeb128a46
hex8f0bd7660

38398686816 has 96 divisors (see below), whose sum is σ = 115655516928. Its totient is φ = 10927296000.

The previous prime is 38398686779. The next prime is 38398686853. The reversal of 38398686816 is 61868689383.

It is a happy number.

38398686816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38398686779) and next prime (38398686853).

It is a tau number, because it is divible by the number of its divisors (96).

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, 54846 + ... + 282498.

It is an arithmetic number, because the mean of its divisors is an integer number (1204744968).

Almost surely, 238398686816 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 38398686816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57827758464).

38398686816 is an abundant number, since it is smaller than the sum of its proper divisors (77256830112).

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

38398686816 is a wasteful number, since it uses less digits than its factorization.

38398686816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227924 (or 227916 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 66.

The spelling of 38398686816 in words is "thirty-eight billion, three hundred ninety-eight million, six hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 251 336 502 672 753 1004 1506 1757 2008 3012 3514 4016 5271 6024 7028 8032 10542 12048 14056 21084 24096 28112 42168 56224 84336 168672 227653 455306 682959 910612 1365918 1593571 1821224 2731836 3187142 3642448 4780713 5463672 6374284 7284896 9561426 10927344 12748568 19122852 21854688 25497136 38245704 50994272 57140903 76491408 114281806 152982816 171422709 228563612 342845418 399986321 457127224 685690836 799972642 914254448 1199958963 1371381672 1599945284 1828508896 2399917926 2742763344 3199890568 4799835852 5485526688 6399781136 9599671704 12799562272 19199343408 38398686816