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5140757465352 = 23322571348720599
BaseRepresentation
bin100101011001110110100…
…0001011100100100001000
3200012110012020010020021200
41022303231001130210020
51133211232402342402
614533344213304200
71040256522322215
oct112635501344410
920173166106250
105140757465352
11170220162a623
126b0391335060
132b3a048659c2
1413ab5782ab0c
158dac9bb721c
hex4aced05c908

5140757465352 has 96 divisors (see below), whose sum is σ = 13978774368000. Its totient is φ = 1706708754432.

The previous prime is 5140757465297. The next prime is 5140757465359. The reversal of 5140757465352 is 2535647570415.

It is a happy number.

5140757465352 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 7 + 574 + 65 + 3 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (5140757465359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249553149 + ... + 249573747.

It is an arithmetic number, because the mean of its divisors is an integer number (145612233000).

Almost surely, 25140757465352 is an apocalyptic number.

It is an amenable number.

5140757465352 is an abundant number, since it is smaller than the sum of its proper divisors (8838016902648).

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

5140757465352 is a wasteful number, since it uses less digits than its factorization.

5140757465352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34355 (or 34348 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 5140757465352 in words is "five trillion, one hundred forty billion, seven hundred fifty-seven million, four hundred sixty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257 514 771 1028 1542 2056 2313 3084 4626 6168 9252 13487 18504 20599 26974 40461 41198 53948 61797 80922 82396 107896 121383 123594 161844 164792 185391 242766 247188 323688 370782 485532 494376 741564 971064 1483128 3466159 5293943 6932318 10398477 10587886 13864636 15881829 20796954 21175772 27729272 31195431 31763658 41593908 42351544 47645487 62390862 63527316 83187816 95290974 124781724 127054632 190581948 249563448 277818713 381163896 555637426 833456139 1111274852 1666912278 2222549704 2500368417 3333824556 5000736834 6667649112 10001473668 20002947336 71399409241 142798818482 214198227723 285597636964 428396455446 571195273928 642594683169 856792910892 1285189366338 1713585821784 2570378732676 5140757465352