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5464200357 = 3372112391571
BaseRepresentation
bin1010001011011000…
…10001010010100101
3112002210212010202000
411011230101102211
542142313402412
62302112435513
7252256636200
oct50554212245
915083763660
105464200357
112354442670
121085b48b99
1369108ac65
1439b9b8937
1521ea9c4dc
hex145b114a5

5464200357 has 96 divisors (see below), whose sum is σ = 10322380800. Its totient is φ = 2824869600.

The previous prime is 5464200353. The next prime is 5464200359. The reversal of 5464200357 is 7530024645.

5464200357 is a `hidden beast` number, since 5 + 4 + 642 + 0 + 0 + 3 + 5 + 7 = 666.

It is not a de Polignac number, because 5464200357 - 22 = 5464200353 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5464200353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3477382 + ... + 3478952.

It is an arithmetic number, because the mean of its divisors is an integer number (107524800).

Almost surely, 25464200357 is an apocalyptic number.

It is an amenable number.

5464200357 is a deficient number, since it is larger than the sum of its proper divisors (4858180443).

5464200357 is a wasteful number, since it uses less digits than its factorization.

5464200357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5464200357 is about 73920.2296871432. The cubic root of 5464200357 is about 1761.3359730915.

The spelling of 5464200357 in words is "five billion, four hundred sixty-four million, two hundred thousand, three hundred fifty-seven".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 239 297 441 539 693 717 1323 1571 1617 1673 2079 2151 2629 4713 4851 5019 6453 7887 10997 11711 14139 14553 15057 17281 18403 23661 32991 35133 42417 45171 51843 55209 70983 76979 98973 105399 120967 128821 155529 165627 230937 296919 316197 362901 375469 386463 466587 496881 692811 846769 1088703 1126407 1159389 2078433 2540307 2628283 3266109 3379221 3478167 4130159 7620921 7884849 10137663 12390477 18397981 22862763 23654547 28911113 37171431 55193943 70963641 86733339 111514293 165581829 202377791 260200017 496745487 607133373 780600051 1821400119 5464200357