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5178875640 = 2335418231279
BaseRepresentation
bin1001101001010111…
…10101111011111000
3111100220222010210220
410310223311323320
541101243010030
62213521140040
7242223500541
oct46453657370
914326863726
105178875640
112218381a14
12100648a620
13646c2aa73
14371b454c8
152049dba10
hex134af5ef8

5178875640 has 128 divisors (see below), whose sum is σ = 15947366400. Its totient is φ = 1344660480.

The previous prime is 5178875591. The next prime is 5178875641. The reversal of 5178875640 is 465788715.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5178875641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4048521 + ... + 4049799.

It is an arithmetic number, because the mean of its divisors is an integer number (124588800).

Almost surely, 25178875640 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 5178875640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973683200).

5178875640 is an abundant number, since it is smaller than the sum of its proper divisors (10768490760).

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

5178875640 is a wasteful number, since it uses less digits than its factorization.

5178875640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 51.

The square root of 5178875640 is about 71964.4053682096. The cubic root of 5178875640 is about 1730.1290335557.

The spelling of 5178875640 in words is "five billion, one hundred seventy-eight million, eight hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 823 984 1230 1279 1640 1646 2460 2469 2558 3292 3837 4115 4920 4938 5116 6395 6584 7674 8230 9876 10232 12345 12790 15348 16460 19185 19752 24690 25580 30696 32920 33743 38370 49380 51160 52439 67486 76740 98760 101229 104878 134972 153480 157317 168715 202458 209756 262195 269944 314634 337430 404916 419512 506145 524390 629268 674860 786585 809832 1012290 1048780 1052617 1258536 1349720 1573170 2024580 2097560 2105234 3146340 3157851 4049160 4210468 5263085 6292680 6315702 8420936 10526170 12631404 15789255 21052340 25262808 31578510 42104680 43157297 63157020 86314594 126314040 129471891 172629188 215786485 258943782 345258376 431572970 517887564 647359455 863145940 1035775128 1294718910 1726291880 2589437820 5178875640