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5213642652 = 2233241383523
BaseRepresentation
bin1001101101100000…
…11101111110011100
3111110100101111012000
410312300131332130
541134143031102
62221202242300
7243125142231
oct46660357634
914410344160
105213642652
112235a68989
121016056390
136511b176a
143765d5788
15207aa801c
hex136c1df9c

5213642652 has 96 divisors (see below), whose sum is σ = 13634396160. Its totient is φ = 1722850560.

The previous prime is 5213642647. The next prime is 5213642659. The reversal of 5213642652 is 2562463125.

5213642652 is a `hidden beast` number, since 5 + 2 + 1 + 3 + 642 + 6 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (86400) is a multiple of the sum of its prime divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5213642659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9968463 + ... + 9968985.

It is an arithmetic number, because the mean of its divisors is an integer number (142024960).

Almost surely, 25213642652 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 5213642652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6817198080).

5213642652 is an abundant number, since it is smaller than the sum of its proper divisors (8420753508).

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

5213642652 is a wasteful number, since it uses less digits than its factorization.

5213642652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5213642652 is about 72205.5583179024. The cubic root of 5213642652 is about 1733.9919900014.

The spelling of 5213642652 in words is "five billion, two hundred thirteen million, six hundred forty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 241 383 482 523 723 766 964 1046 1149 1446 1532 1569 2092 2169 2298 2892 3138 3447 4338 4596 4707 6276 6507 6894 8676 9414 10341 13014 13788 14121 18828 20682 26028 28242 41364 56484 92303 126043 184606 200309 252086 276909 369212 378129 400618 504172 553818 600927 756258 801236 830727 1107636 1134387 1201854 1512516 1661454 1802781 2268774 2403708 2492181 3322908 3403161 3605562 4537548 4984362 5408343 6806322 7211124 9968724 10816686 13612644 21633372 48274469 96548938 144823407 193097876 289646814 434470221 579293628 868940442 1303410663 1737880884 2606821326 5213642652