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5144959575 = 325272479929
BaseRepresentation
bin1001100101010100…
…11101101001010111
3111021120011000201100
410302222131221113
541014102201300
62210310201143
7241332302100
oct46252355127
914246130640
105144959575
112200217308
12bb70531b3
1363cbb44a2
1436b4373a7
15201a3c700
hex132a9da57

5144959575 has 108 divisors (see below), whose sum is σ = 10948897440. Its totient is φ = 2301707520.

The previous prime is 5144959559. The next prime is 5144959639. The reversal of 5144959575 is 5759594415.

5144959575 is a `hidden beast` number, since 5 + 1 + 4 + 49 + 595 + 7 + 5 = 666.

It is not a de Polignac number, because 5144959575 - 24 = 5144959559 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 513211 + ... + 523139.

It is an arithmetic number, because the mean of its divisors is an integer number (101378680).

Almost surely, 25144959575 is an apocalyptic number.

5144959575 is an abundant number, since it is smaller than the sum of its proper divisors (5803937865).

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

5144959575 is a wasteful number, since it uses less digits than its factorization.

5144959575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10006 (or 9991 counting only the distinct ones).

The product of its digits is 5670000, while the sum is 54.

The square root of 5144959575 is about 71728.3735700176. The cubic root of 5144959575 is about 1726.3439306307.

The spelling of 5144959575 in words is "five billion, one hundred forty-four million, nine hundred fifty-nine thousand, five hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 47 49 63 75 105 141 147 175 225 235 245 315 329 423 441 525 705 735 987 1175 1225 1575 1645 2115 2205 2303 2961 3525 3675 4935 6909 8225 9929 10575 11025 11515 14805 20727 24675 29787 34545 49645 57575 69503 74025 89361 103635 148935 172725 208509 248225 347515 446805 466663 486521 518175 625527 744675 1042545 1399989 1459563 1737575 2234025 2333315 2432605 3127635 3266641 4199967 4378689 5212725 6999945 7297815 9799923 11666575 12163025 15638175 16333205 20999835 21893445 22866487 29399769 34999725 36489075 48999615 68599461 81666025 104999175 109467225 114332435 146998845 205798383 244998075 342997305 571662175 734994225 1028991915 1714986525 5144959575