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5938478688 = 253378320143
BaseRepresentation
bin1011000011111010…
…11111111001100000
3120022212021222022010
411201331133321200
544130222304223
62421134112520
7300106143642
oct54175377140
916285258263
105938478688
112578130a2a
12119894b740
1373840851c
14404996892
1524b534393
hex161f5fe60

5938478688 has 96 divisors (see below), whose sum is σ = 16203511296. Its totient is φ = 1902693888.

The previous prime is 5938478687. The next prime is 5938478759. The reversal of 5938478688 is 8868748395.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5938478681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284745 + ... + 304887.

It is an arithmetic number, because the mean of its divisors is an integer number (168786576).

Almost surely, 25938478688 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 5938478688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101755648).

5938478688 is an abundant number, since it is smaller than the sum of its proper divisors (10265032608).

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

5938478688 is a wasteful number, since it uses less digits than its factorization.

5938478688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20276 (or 20268 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 66.

The square root of 5938478688 is about 77061.5253417683. The cubic root of 5938478688 is about 1810.8885971881. Note that the first 3 decimals are identical.

The spelling of 5938478688 in words is "five billion, nine hundred thirty-eight million, four hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 83 96 111 148 166 222 249 296 332 444 498 592 664 888 996 1184 1328 1776 1992 2656 3071 3552 3984 6142 7968 9213 12284 18426 20143 24568 36852 40286 49136 60429 73704 80572 98272 120858 147408 161144 241716 294816 322288 483432 644576 745291 966864 1490582 1671869 1933728 2235873 2981164 3343738 4471746 5015607 5962328 6687476 8943492 10031214 11924656 13374952 17886984 20062428 23849312 26749904 35773968 40124856 53499808 61859153 71547936 80249712 123718306 160499424 185577459 247436612 371154918 494873224 742309836 989746448 1484619672 1979492896 2969239344 5938478688