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5127077384 = 2311133231153
BaseRepresentation
bin1001100011001100…
…01111111000001000
3111020022111111221222
410301212033320020
541000012434014
62204431021212
7241024303322
oct46146177010
914208444858
105127077384
1121a1113140
12bb106a808
13639293000
14368d00612
152001a908e
hex13198fe08

5127077384 has 128 divisors (see below), whose sum is σ = 11864966400. Its totient is φ = 2055905280.

The previous prime is 5127077357. The next prime is 5127077399. The reversal of 5127077384 is 4837707215.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4446152 + ... + 4447304.

It is an arithmetic number, because the mean of its divisors is an integer number (92695050).

Almost surely, 25127077384 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 5127077384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932483200).

5127077384 is an abundant number, since it is smaller than the sum of its proper divisors (6737889016).

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

5127077384 is a wasteful number, since it uses less digits than its factorization.

5127077384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The square root of 5127077384 is about 71603.6129256059. The cubic root of 5127077384 is about 1724.3415406363.

The spelling of 5127077384 in words is "five billion, one hundred twenty-seven million, seventy-seven thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 169 184 253 286 299 338 506 572 598 676 1012 1144 1153 1196 1352 1859 2024 2197 2306 2392 3289 3718 3887 4394 4612 6578 7436 7774 8788 9224 12683 13156 14872 14989 15548 17576 24167 25366 26312 26519 29978 31096 42757 48334 50531 50732 53038 59956 85514 96668 101062 101464 106076 119912 164879 171028 193336 194857 202124 212152 291709 329758 342056 344747 389714 404248 555841 583418 659516 689494 779428 1111682 1166836 1319032 1378988 1558856 2143427 2223364 2333672 2533141 2757976 3792217 4286854 4446728 4481711 5066282 7584434 8573708 8963422 10132564 15168868 17147416 17926844 20265128 27864551 30337736 35853688 49298821 55729102 58262243 98597642 111458204 116524486 197195284 222916408 233048972 394390568 466097944 640884673 1281769346 2563538692 5127077384