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5202031632 = 2437311393593
BaseRepresentation
bin1001101100001000…
…01011010000010000
3111102112112120212020
410312010023100100
541123210003012
62220105331440
7242624352660
oct46604132020
914375476766
105202031632
11222a4583a6
121012196b80
1364b977835
14374c521a0
15206a62a8c
hex13610b410

5202031632 has 160 divisors (see below), whose sum is σ = 15972311040. Its totient is φ = 1427604480.

The previous prime is 5202031607. The next prime is 5202031643. The reversal of 5202031632 is 2361302025.

It is a super-2 number, since 2×52020316322 = 54122266200657166848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446028 + ... + 1449620.

It is an arithmetic number, because the mean of its divisors is an integer number (99826944).

Almost surely, 25202031632 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 5202031632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986155520).

5202031632 is an abundant number, since it is smaller than the sum of its proper divisors (10770279408).

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

5202031632 is a wasteful number, since it uses less digits than its factorization.

5202031632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5202031632 is about 72125.1109669857. The cubic root of 5202031632 is about 1732.7038068282.

Adding to 5202031632 its reverse (2361302025), we get a palindrome (7563333657).

The spelling of 5202031632 in words is "five billion, two hundred two million, thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 139 168 186 217 248 278 336 372 417 434 496 556 651 744 834 868 973 1112 1302 1488 1668 1736 1946 2224 2604 2919 3336 3472 3593 3892 4309 5208 5838 6672 7186 7784 8618 10416 10779 11676 12927 14372 15568 17236 21558 23352 25151 25854 28744 30163 34472 43116 46704 50302 51708 57488 60326 68944 75453 86232 90489 100604 103416 111383 120652 150906 172464 180978 201208 206832 222766 241304 301812 334149 361956 402416 445532 482608 499427 603624 668298 723912 779681 891064 998854 1207248 1336596 1447824 1498281 1559362 1782128 1997708 2339043 2673192 2996562 3118724 3495989 3995416 4678086 5346384 5993124 6237448 6991978 7990832 9356172 10487967 11986248 12474896 13983956 15482237 18712344 20975934 23972496 27967912 30964474 37424688 41951868 46446711 55935824 61928948 83903736 92893422 108375659 123857896 167807472 185786844 216751318 247715792 325126977 371573688 433502636 650253954 743147376 867005272 1300507908 1734010544 2601015816 5202031632