Search a number
-
+
5171625760 = 255717271619
BaseRepresentation
bin1001101000100000…
…01011111100100000
3111100102022210211211
410310100023330200
541042414011020
62213101515504
7242105044060
oct46420137440
914312283754
105171625760
11221427aa84
121003b72b94
1364558cbb2
14370bb93a0
1520405885a
hex13440bf20

5171625760 has 96 divisors (see below), whose sum is σ = 14784819840. Its totient is φ = 1668820992.

The previous prime is 5171625737. The next prime is 5171625779. The reversal of 5171625760 is 675261715.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 116770 + ... + 154849.

It is an arithmetic number, because the mean of its divisors is an integer number (154008540).

Almost surely, 25171625760 is an apocalyptic number.

It is an amenable number.

5171625760 is an abundant number, since it is smaller than the sum of its proper divisors (9613194080).

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

5171625760 is a wasteful number, since it uses less digits than its factorization.

5171625760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271658 (or 271650 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The square root of 5171625760 is about 71914.0164362970. The cubic root of 5171625760 is about 1729.3213237764.

The spelling of 5171625760 in words is "five billion, one hundred seventy-one million, six hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 9520 19040 271619 543238 1086476 1358095 1901333 2172952 2716190 3802666 4345904 4617523 5432380 7605332 8691808 9235046 9506665 10864760 15210664 18470092 19013330 21729520 23087615 30421328 32322661 36940184 38026660 43459040 46175230 60842656 64645322 73880368 76053320 92350460 129290644 147760736 152106640 161613305 184700920 258581288 304213280 323226610 369401840 517162576 646453220 738803680 1034325152 1292906440 2585812880 5171625760