Search a number
-
+
103325469408 = 2532751252713
BaseRepresentation
bin110000000111010101…
…1011000101011100000
3100212200221002200200100
41200032223120223200
53143102310010113
6115244515222400
710315333666410
oct1401653305340
9325627080610
10103325469408
113a902596527
12180375a7a00
13998876b815
14500298a640
152a4b16dd73
hex180ead8ae0

103325469408 has 72 divisors (see below), whose sum is σ = 335807782128. Its totient is φ = 29521562112.

The previous prime is 103325469389. The next prime is 103325469463. The reversal of 103325469408 is 804964523301.

103325469408 is a `hidden beast` number, since 10 + 3 + 3 + 2 + 546 + 94 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25624341 + ... + 25628372.

It is an arithmetic number, because the mean of its divisors is an integer number (4663996974).

Almost surely, 2103325469408 is an apocalyptic number.

103325469408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103325469408 is an abundant number, since it is smaller than the sum of its proper divisors (232482312720).

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

103325469408 is a wasteful number, since it uses less digits than its factorization.

103325469408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51252736 (or 51252725 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 103325469408 in words is "one hundred three billion, three hundred twenty-five million, four hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 51252713 102505426 153758139 205010852 307516278 358768991 410021704 461274417 615032556 717537982 820043408 922548834 1076306973 1230065112 1435075964 1640086816 1845097668 2152613946 2460130224 2870151928 3228920919 3690195336 4305227892 4920260448 5740303856 6457841838 7380390672 8610455784 11480607712 12915683676 14760781344 17220911568 25831367352 34441823136 51662734704 103325469408