Search a number
-
+
13751245152 = 253323691991
BaseRepresentation
bin11001100111010001…
…10101100101100000
31022111100101122002000
430303220311211200
5211130304321102
610152304524000
7664524440511
oct146350654540
938440348060
1013751245152
115917246017
1227b9320600
1313b1c14168
14946442a08
1555739801c
hex333a35960

13751245152 has 96 divisors (see below), whose sum is σ = 41851676160. Its totient is φ = 4384448640.

The previous prime is 13751245103. The next prime is 13751245153. The reversal of 13751245152 is 25154215731.

13751245152 is a `hidden beast` number, since 13 + 7 + 5 + 124 + 515 + 2 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13751245153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326124 + ... + 365867.

It is an arithmetic number, because the mean of its divisors is an integer number (435954960).

Almost surely, 213751245152 is an apocalyptic number.

13751245152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13751245152 is an abundant number, since it is smaller than the sum of its proper divisors (28100431008).

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

13751245152 is a wasteful number, since it uses less digits than its factorization.

13751245152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692033 (or 692019 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The spelling of 13751245152 in words is "thirteen billion, seven hundred fifty-one million, two hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 691991 1383982 2075973 2767964 4151946 5535928 6227919 8303892 11071856 12455838 15915793 16607784 18683757 22143712 24911676 31831586 33215568 37367514 47747379 49823352 63663172 66431136 74735028 95494758 99646704 127326344 143242137 149470056 190989516 199293408 254652688 286484274 298940112 381979032 429726411 509305376 572968548 597880224 763958064 859452822 1145937096 1527916128 1718905644 2291874192 3437811288 4583748384 6875622576 13751245152