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5212743552 = 27332365579
BaseRepresentation
bin1001101101011010…
…00010011110000000
3111110021200210212000
410312231002132000
541133430243202
62221131104000
7243114406032
oct46655023600
914407623760
105212743552
112235504425
1210158a2000
13650c58453
1437643dc52
1520797b91c
hex136b42780

5212743552 has 128 divisors (see below), whose sum is σ = 16053984000. Its totient is φ = 1662008832.

The previous prime is 5212743521. The next prime is 5212743553. The reversal of 5212743552 is 2553472125.

5212743552 is a `hidden beast` number, since 5 + 212 + 7 + 435 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5212743553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46699 + ... + 112277.

It is an arithmetic number, because the mean of its divisors is an integer number (125421750).

Almost surely, 25212743552 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 5212743552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026992000).

5212743552 is an abundant number, since it is smaller than the sum of its proper divisors (10841240448).

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

5212743552 is a wasteful number, since it uses less digits than its factorization.

5212743552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65625 (or 65607 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 5212743552 is about 72199.3320744728. The cubic root of 5212743552 is about 1733.8923078195.

The spelling of 5212743552 in words is "five billion, two hundred twelve million, seven hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1656 1728 2208 2484 2944 3312 3456 4416 4968 6624 8832 9936 13248 19872 26496 39744 65579 79488 131158 196737 262316 393474 524632 590211 786948 1049264 1180422 1508317 1573896 1770633 2098528 2360844 3016634 3147792 3541266 4197056 4524951 4721688 6033268 6295584 7082532 8394112 9049902 9443376 12066536 12591168 13574853 14165064 18099804 18886752 24133072 25182336 27149706 28330128 36199608 37773504 40724559 48266144 54299412 56660256 72399216 75547008 81449118 96532288 108598824 113320512 144798432 162898236 193064576 217197648 226641024 289596864 325796472 434395296 579193728 651592944 868790592 1303185888 1737581184 2606371776 5212743552