Search a number
-
+
5002673760 = 253257496297
BaseRepresentation
bin1001010100010111…
…01011111001100000
3110220122102011021100
410222023223321200
540221141030020
62144224354400
7234654011460
oct45213537140
913818364240
105002673760
112137973927
12b77475a00
136195868b6
14356599ba0
151e42d3a90
hex12a2ebe60

5002673760 has 144 divisors (see below), whose sum is σ = 19510466976. Its totient is φ = 1143465984.

The previous prime is 5002673747. The next prime is 5002673771. The reversal of 5002673760 is 673762005.

It is a happy number.

5002673760 is a `hidden beast` number, since 500 + 2 + 67 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238069 + ... + 258228.

It is an arithmetic number, because the mean of its divisors is an integer number (135489354).

Almost surely, 25002673760 is an apocalyptic number.

It is an amenable number.

5002673760 is an abundant number, since it is smaller than the sum of its proper divisors (14507793216).

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

5002673760 is a wasteful number, since it uses less digits than its factorization.

5002673760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496325 (or 496314 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 5002673760 is about 70729.5819300524. The cubic root of 5002673760 is about 1710.2806967137.

The spelling of 5002673760 in words is "five billion, two million, six hundred seventy-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 496297 992594 1488891 1985188 2481485 2977782 3474079 3970376 4466673 4962970 5955564 6948158 7444455 7940752 8933346 9925940 10422237 11911128 13896316 14888910 15881504 17370395 17866692 19851880 20844474 22333365 23822256 27792632 29777820 31266711 34740790 35733384 39703760 41688948 44666730 47644512 52111185 55585264 59555640 62533422 69481580 71466768 79407520 83377896 89333460 104222370 111170528 119111280 125066844 138963160 142933536 156333555 166755792 178666920 208444740 238222560 250133688 277926320 312667110 333511584 357333840 416889480 500267376 555852640 625334220 714667680 833778960 1000534752 1250668440 1667557920 2501336880 5002673760