Search a number
-
+
5095291520 = 275111993637
BaseRepresentation
bin1001011111011001…
…11111101010000000
3111011002200121221202
410233230333222000
540413343312040
62201333440332
7240160156214
oct45754775200
914132617852
105095291520
112185182a30
12ba24a00a8
136328141c7
143649c8944
151ec4cb015
hex12fb3fa80

5095291520 has 128 divisors (see below), whose sum is σ = 13358736000. Its totient is φ = 1843015680.

The previous prime is 5095291517. The next prime is 5095291547. The reversal of 5095291520 is 251925905.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1399142 + ... + 1402778.

It is an arithmetic number, because the mean of its divisors is an integer number (104365125).

Almost surely, 25095291520 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 5095291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679368000).

5095291520 is an abundant number, since it is smaller than the sum of its proper divisors (8263444480).

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

5095291520 is a wasteful number, since it uses less digits than its factorization.

5095291520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 38.

The square root of 5095291520 is about 71381.3107192632. The cubic root of 5095291520 is about 1720.7707380465.

The spelling of 5095291520 in words is "five billion, ninety-five million, two hundred ninety-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 199 220 320 352 398 440 640 704 796 880 995 1408 1592 1760 1990 2189 3184 3520 3637 3980 4378 6368 7040 7274 7960 8756 10945 12736 14548 15920 17512 18185 21890 25472 29096 31840 35024 36370 40007 43780 58192 63680 70048 72740 80014 87560 116384 127360 140096 145480 160028 175120 200035 232768 280192 290960 320056 350240 400070 465536 581920 640112 700480 723763 800140 1163840 1280224 1400960 1447526 1600280 2327680 2560448 2895052 3200560 3618815 5120896 5790104 6401120 7237630 7961393 11580208 12802240 14475260 15922786 23160416 25604480 28950520 31845572 39806965 46320832 57901040 63691144 79613930 92641664 115802080 127382288 159227860 231604160 254764576 318455720 463208320 509529152 636911440 1019058304 1273822880 2547645760 5095291520