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5113152432 = 243373281577
BaseRepresentation
bin1001100001100010…
…01000001110110000
3111012100022001112000
410300301020032300
540432431334212
62203212334000
7240465035643
oct46061101660
914170261460
105113152432
112194272113
12ba8474300
13636428aab
14367117a5a
151edd581dc
hex130c483b0

5113152432 has 160 divisors (see below), whose sum is σ = 14956512960. Its totient is φ = 1672151040.

The previous prime is 5113152413. The next prime is 5113152437. The reversal of 5113152432 is 2342513115.

5113152432 is a `hidden beast` number, since 5 + 1 + 131 + 524 + 3 + 2 = 666.

It is a super-2 number, since 2×51131524322 = 52288655585735029248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5113152396 and 5113152405.

It is not an unprimeable number, because it can be changed into a prime (5113152437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8861328 + ... + 8861904.

It is an arithmetic number, because the mean of its divisors is an integer number (93478206).

Almost surely, 25113152432 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 5113152432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7478256480).

5113152432 is an abundant number, since it is smaller than the sum of its proper divisors (9843360528).

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

5113152432 is a wasteful number, since it uses less digits than its factorization.

5113152432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 936 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5113152432 is about 71506.3104348141. The cubic root of 5113152432 is about 1722.7790426643.

Adding to 5113152432 its reverse (2342513115), we get a palindrome (7455665547).

The spelling of 5113152432 in words is "five billion, one hundred thirteen million, one hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 281 292 432 438 562 577 584 657 843 876 1124 1154 1168 1314 1686 1731 1752 1971 2248 2308 2529 2628 3372 3462 3504 3942 4496 4616 5058 5193 5256 6744 6924 7587 7884 9232 10116 10386 10512 13488 13848 15174 15579 15768 20232 20513 20772 27696 30348 31158 31536 40464 41026 41544 42121 60696 61539 62316 82052 83088 84242 121392 123078 124632 126363 162137 164104 168484 184617 246156 249264 252726 324274 328208 336968 369234 379089 486411 492312 505452 553851 648548 673936 738468 758178 972822 984624 1010904 1107702 1137267 1297096 1459233 1476936 1516356 1945644 2021808 2215404 2274534 2594192 2918466 2953872 3032712 3891288 4377699 4430808 4549068 5836932 6065424 7782576 8755398 8861616 9098136 11673864 11836001 17510796 18196272 23347728 23672002 35021592 35508003 47344004 70043184 71016006 94688008 106524009 142032012 189376016 213048018 284064024 319572027 426096036 568128048 639144054 852192072 1278288108 1704384144 2556576216 5113152432