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5431962720 = 253512789107
BaseRepresentation
bin1010000111100010…
…10010110001100000
3112000120012022000110
411003301102301200
542111040301340
62255001451320
7251415631002
oct50361226140
915016168013
105431962720
112338223a98
1210771a0b40
136874b1632
143975c6372
1521bd30680
hex143c52c60

5431962720 has 96 divisors (see below), whose sum is σ = 17245605888. Its totient is φ = 1437101568.

The previous prime is 5431962719. The next prime is 5431962727. The reversal of 5431962720 is 272691345.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5431962727) by changing a digit.

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, 16407 + ... + 105513.

It is an arithmetic number, because the mean of its divisors is an integer number (179641728).

Almost surely, 25431962720 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 5431962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622802944).

5431962720 is an abundant number, since it is smaller than the sum of its proper divisors (11813643168).

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

5431962720 is a wasteful number, since it uses less digits than its factorization.

5431962720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89252 (or 89244 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 5431962720 is about 73701.8501803042. The cubic root of 5431962720 is about 1757.8653009949.

The spelling of 5431962720 in words is "five billion, four hundred thirty-one million, nine hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 10160 12192 15240 20320 30480 60960 89107 178214 267321 356428 445535 534642 712856 891070 1069284 1336605 1425712 1782140 2138568 2673210 2851424 3564280 4277136 5346420 7128560 8554272 10692840 11316589 14257120 21385680 22633178 33949767 42771360 45266356 56582945 67899534 90532712 113165890 135799068 169748835 181065424 226331780 271598136 339497670 362130848 452663560 543196272 678995340 905327120 1086392544 1357990680 1810654240 2715981360 5431962720