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5155612020 = 2232513313037
BaseRepresentation
bin1001100110100110…
…00110010101110100
3111022022012020010100
410303103012111310
541024314041040
62211330354100
7241521656556
oct46323062564
914268166110
105155612020
112206232689
12bba72b930
13642174000
1436ca0b4d6
15202943b30
hex1334c6574

5155612020 has 144 divisors (see below), whose sum is σ = 16942620240. Its totient is φ = 1268976384.

The previous prime is 5155611997. The next prime is 5155612039. The reversal of 5155612020 is 202165515.

5155612020 is a `hidden beast` number, since 515 + 5 + 6 + 120 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3456028944 + 1699583076 = 58788^2 + 41226^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388942 + ... + 401978.

It is an arithmetic number, because the mean of its divisors is an integer number (117657085).

Almost surely, 25155612020 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 5155612020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8471310120).

5155612020 is an abundant number, since it is smaller than the sum of its proper divisors (11787008220).

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

5155612020 is a wasteful number, since it uses less digits than its factorization.

5155612020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13091 (or 13060 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5155612020 is about 71802.5906217875. The cubic root of 5155612020 is about 1727.5345526559.

Adding to 5155612020 its reverse (202165515), we get a palindrome (5357777535).

The spelling of 5155612020 in words is "five billion, one hundred fifty-five million, six hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2197 2340 2535 3042 3380 4394 5070 6084 6591 7605 8788 10140 10985 13037 13182 15210 19773 21970 26074 26364 30420 32955 39111 39546 43940 52148 65185 65910 78222 79092 98865 117333 130370 131820 156444 169481 195555 197730 234666 260740 338962 391110 395460 469332 508443 586665 677924 782220 847405 1016886 1173330 1525329 1694810 2033772 2203253 2346660 2542215 3050658 3389620 4406506 5084430 6101316 6609759 7626645 8813012 10168860 11016265 13219518 15253290 19829277 22032530 26439036 28642289 30506580 33048795 39658554 44065060 57284578 66097590 79317108 85926867 99146385 114569156 132195180 143211445 171853734 198292770 257780601 286422890 343707468 396585540 429634335 515561202 572845780 859268670 1031122404 1288903005 1718537340 2577806010 5155612020