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5147150720 = 27531614253
BaseRepresentation
bin1001100101100101…
…10100100110000000
3111021201021100101212
410302302310212000
541020132310340
62210425145252
7241360026215
oct46262644600
914251240355
105147150720
112201483578
12bb792b228
136404a091a
1436b847b0c
15201d21a65
hex132cb4980

5147150720 has 128 divisors (see below), whose sum is σ = 12913102080. Its totient is φ = 1959321600.

The previous prime is 5147150713. The next prime is 5147150731. The reversal of 5147150720 is 270517415.

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

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208114 + ... + 1212366.

It is an arithmetic number, because the mean of its divisors is an integer number (100883610).

Almost surely, 25147150720 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 5147150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456551040).

5147150720 is an abundant number, since it is smaller than the sum of its proper divisors (7765951360).

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

5147150720 is a wasteful number, since it uses less digits than its factorization.

5147150720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 5147150720 is about 71743.6458510438. The cubic root of 5147150720 is about 1726.5889687082.

The spelling of 5147150720 in words is "five billion, one hundred forty-seven million, one hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 61 62 64 80 122 124 128 155 160 244 248 305 310 320 488 496 610 620 640 976 992 1220 1240 1891 1952 1984 2440 2480 3782 3904 3968 4253 4880 4960 7564 7808 8506 9455 9760 9920 15128 17012 18910 19520 19840 21265 30256 34024 37820 39040 42530 60512 68048 75640 85060 121024 131843 136096 151280 170120 242048 259433 263686 272192 302560 340240 518866 527372 544384 605120 659215 680480 1037732 1054744 1210240 1297165 1318430 1360960 2075464 2109488 2594330 2636860 2721920 4150928 4218976 5188660 5273720 8042423 8301856 8437952 10377320 10547440 16084846 16603712 16875904 20754640 21094880 32169692 33207424 40212115 41509280 42189760 64339384 80424230 83018560 84379520 128678768 160848460 166037120 257357536 321696920 514715072 643393840 1029430144 1286787680 2573575360 5147150720