Search a number
-
+
38848152512 = 2613163286457
BaseRepresentation
bin100100001011100001…
…111100001111000000
310201021101122121210102
4210023201330033000
51114030111340022
625502510421532
72543456563601
oct441341741700
9121241577712
1038848152512
1115525850a74
1276422018a8
13388154a5c0
141c47613da8
15102580da92
hex90b87c3c0

38848152512 has 56 divisors (see below), whose sum is σ = 83528861136. Its totient is φ = 17819854848.

The previous prime is 38848152503. The next prime is 38848152523. The reversal of 38848152512 is 21525184883.

It is a super-2 number, since 2×388481525122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7613 + ... + 278844.

It is an arithmetic number, because the mean of its divisors is an integer number (1491586806).

Almost surely, 238848152512 is an apocalyptic number.

38848152512 is a gapful number since it is divisible by the number (32) 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 38848152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41764430568).

38848152512 is an abundant number, since it is smaller than the sum of its proper divisors (44680708624).

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

38848152512 is a wasteful number, since it uses less digits than its factorization.

38848152512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286645 (or 286635 counting only the distinct ones).

The product of its digits is 614400, while the sum is 47.

The spelling of 38848152512 in words is "thirty-eight billion, eight hundred forty-eight million, one hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 163 208 326 416 652 832 1304 2119 2608 4238 5216 8476 10432 16952 33904 67808 135616 286457 572914 1145828 2291656 3723941 4583312 7447882 9166624 14895764 18333248 29791528 46692491 59583056 93384982 119166112 186769964 238332224 373539928 607002383 747079856 1214004766 1494159712 2428009532 2988319424 4856019064 9712038128 19424076256 38848152512