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4958245680 = 243537647863
BaseRepresentation
bin1001001111000100…
…01101001100110000
3110210112210222101220
410213202031030300
540123302330210
62140000225040
7233604251523
oct44742151460
913715728356
104958245680
112114889403
12b6460b180
136102cc6ab
14350712bba
151e0459c70
hex12788d330

4958245680 has 160 divisors (see below), whose sum is σ = 15828701184. Its totient is φ = 1282987008.

The previous prime is 4958245673. The next prime is 4958245693. The reversal of 4958245680 is 865428594.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5744929 + ... + 5745791.

Almost surely, 24958245680 is an apocalyptic number.

4958245680 is a gapful number since it is divisible by the number (40) 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 4958245680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7914350592).

4958245680 is an abundant number, since it is smaller than the sum of its proper divisors (10870455504).

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

4958245680 is a wasteful number, since it uses less digits than its factorization.

4958245680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The square root of 4958245680 is about 70414.8115100793. The cubic root of 4958245680 is about 1705.2027095066.

The spelling of 4958245680 in words is "four billion, nine hundred fifty-eight million, two hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 647 740 863 888 1110 1294 1480 1726 1776 1941 2220 2588 2589 2960 3235 3452 3882 4315 4440 5176 5178 6470 6904 7764 8630 8880 9705 10352 10356 12940 12945 13808 15528 17260 19410 20712 23939 25880 25890 31056 31931 34520 38820 41424 47878 51760 51780 63862 69040 71817 77640 95756 95793 103560 119695 127724 143634 155280 159655 191512 191586 207120 239390 255448 287268 319310 359085 383024 383172 478780 478965 510896 558361 574536 638620 718170 766344 957560 957930 1116722 1149072 1277240 1436340 1532688 1675083 1915120 1915860 2233444 2554480 2791805 2872680 3350166 3831720 4466888 5583610 5745360 6700332 7663440 8375415 8933776 11167220 13400664 16750830 20659357 22334440 26801328 33501660 41318714 44668880 61978071 67003320 82637428 103296785 123956142 134006640 165274856 206593570 247912284 309890355 330549712 413187140 495824568 619780710 826374280 991649136 1239561420 1652748560 2479122840 4958245680