Search a number
-
+
5156546220 = 2232574199817
BaseRepresentation
bin1001100110101101…
…01010011010101100
3111022100221200121100
410303112222122230
541030033434340
62211402403100
7241532630310
oct46326523254
914270850540
105156546220
112206810551
12bbab00490
136424102a7
1436cbb1b40
15202a7a830
hex1335aa6ac

5156546220 has 144 divisors (see below), whose sum is σ = 18312211008. Its totient is φ = 1149880320.

The previous prime is 5156546191. The next prime is 5156546221. The reversal of 5156546220 is 226456515.

5156546220 is a `hidden beast` number, since 51 + 565 + 46 + 2 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5156546221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1752 + ... + 101568.

It is an arithmetic number, because the mean of its divisors is an integer number (127168132).

Almost surely, 25156546220 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 5156546220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156105504).

5156546220 is an abundant number, since it is smaller than the sum of its proper divisors (13155664788).

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

5156546220 is a wasteful number, since it uses less digits than its factorization.

5156546220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99880 (or 99875 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5156546220 is about 71809.0956634325. The cubic root of 5156546220 is about 1727.6388897876.

The spelling of 5156546220 in words is "five billion, one hundred fifty-six million, five hundred forty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1148 1230 1260 1435 1476 1722 1845 2460 2583 2870 3444 3690 4305 5166 5740 7380 8610 10332 12915 17220 25830 51660 99817 199634 299451 399268 499085 598902 698719 898353 998170 1197804 1397438 1497255 1796706 1996340 2096157 2794876 2994510 3493595 3593412 4092497 4192314 4491765 5989020 6288471 6987190 8184994 8384628 8983530 10480785 12277491 12576942 13974380 16369988 17967060 20462485 20961570 24554982 25153884 28647479 31442355 36832473 40924970 41923140 49109964 57294958 61387455 62884710 73664946 81849940 85942437 114589916 122774910 125769420 143237395 147329892 171884874 184162365 245549820 257827311 286474790 343769748 368324730 429712185 515654622 572949580 736649460 859424370 1031309244 1289136555 1718848740 2578273110 5156546220