Search a number
-
+
5410151136 = 253313481673
BaseRepresentation
bin1010000100111100…
…00101101011100000
3111222001011011011000
411002132011223200
542034444314021
62252502152000
7251032345245
oct50236055340
914861134130
105410151136
112326986695
12106ba22600
13682b15780
143947495cc
15219e72b26
hex142785ae0

5410151136 has 96 divisors (see below), whose sum is σ = 16993458720. Its totient is φ = 1664658432.

The previous prime is 5410151129. The next prime is 5410151141. The reversal of 5410151136 is 6311510145.

5410151136 is a `hidden beast` number, since 541 + 0 + 1 + 5 + 113 + 6 = 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229605 + ... + 252068.

It is an arithmetic number, because the mean of its divisors is an integer number (177015195).

Almost surely, 25410151136 is an apocalyptic number.

It is an amenable number.

5410151136 is an abundant number, since it is smaller than the sum of its proper divisors (11583307584).

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

5410151136 is a wasteful number, since it uses less digits than its factorization.

5410151136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481705 (or 481691 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5410151136 is about 73553.7295859292. The cubic root of 5410151136 is about 1755.5092918879.

The spelling of 5410151136 in words is "five billion, four hundred ten million, one hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 481673 963346 1445019 1926692 2890038 3853384 4335057 5780076 6261749 7706768 8670114 11560152 12523498 13005171 15413536 17340228 18785247 23120304 25046996 26010342 34680456 37570494 46240608 50093992 52020684 56355741 69360912 75140988 100187984 104041368 112711482 138721824 150281976 169067223 200375968 208082736 225422964 300563952 338134446 416165472 450845928 601127904 676268892 901691856 1352537784 1803383712 2705075568 5410151136