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4372627104 = 253317532887
BaseRepresentation
bin1000001001010000…
…01111111010100000
3102021201212110202000
410010220033322200
532423343031404
62001520324000
7213233500656
oct40450177240
912251773660
104372627104
11194426350a
12a20473600
13548b9aa21
142d6a30dd6
151a8d2d339
hex104a0fea0

4372627104 has 96 divisors (see below), whose sum is σ = 12765191040. Its totient is φ = 1456206336.

The previous prime is 4372627099. The next prime is 4372627213. The reversal of 4372627104 is 4017262734.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1513149 + ... + 1516035.

It is an arithmetic number, because the mean of its divisors is an integer number (132970740).

Almost surely, 24372627104 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 4372627104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382595520).

4372627104 is an abundant number, since it is smaller than the sum of its proper divisors (8392563936).

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

4372627104 is a wasteful number, since it uses less digits than its factorization.

4372627104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4372627104 is about 66125.8429360262. The cubic root of 4372627104 is about 1635.2374101847.

Adding to 4372627104 its reverse (4017262734), we get a palindrome (8389889838).

The spelling of 4372627104 in words is "four billion, three hundred seventy-two million, six hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1753 2887 3506 5259 5774 7012 8661 10518 11548 14024 15777 17322 21036 23096 25983 28048 31554 34644 42072 46192 47331 51966 56096 63108 69288 77949 84144 92384 94662 103932 126216 138576 155898 168288 189324 207864 252432 277152 311796 378648 415728 504864 623592 757296 831456 1247184 1514592 2494368 5060911 10121822 15182733 20243644 30365466 40487288 45548199 60730932 80974576 91096398 121461864 136644597 161949152 182192796 242923728 273289194 364385592 485847456 546578388 728771184 1093156776 1457542368 2186313552 4372627104