Search a number
-
+
536930224128 = 2113229130329
BaseRepresentation
bin1111101000000111000…
…10010000100000000000
31220022220120221110220100
413310003202100200000
532244113114133003
61050355022042400
753535426413304
oct7640342204000
91808816843810
10536930224128
11197790128491
1288088a19400
133b82b2282bc
141bdb7c23d04
15de77d91ba3
hex7d03890800

536930224128 has 72 divisors (see below), whose sum is σ = 1550753117550. Its totient is φ = 178976735232.

The previous prime is 536930224109. The next prime is 536930224147. The reversal of 536930224128 is 821422039635.

536930224128 is a `hidden beast` number, since 536 + 9 + 30 + 22 + 41 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (536930224109) and next prime (536930224147).

It can be written as a sum of positive squares in only one way, i.e., 502352077824 + 34578146304 = 708768^2 + 185952^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14546733 + ... + 14583596.

Almost surely, 2536930224128 is an apocalyptic number.

It is an amenable number.

536930224128 is an abundant number, since it is smaller than the sum of its proper divisors (1013822893422).

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

536930224128 is a wasteful number, since it uses less digits than its factorization.

536930224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29130357 (or 29130334 counting only the distinct ones).

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

The spelling of 536930224128 in words is "five hundred thirty-six billion, nine hundred thirty million, two hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 29130329 58260658 87390987 116521316 174781974 233042632 262172961 349563948 466085264 524345922 699127896 932170528 1048691844 1398255792 1864341056 2097383688 2796511584 3728682112 4194767376 5593023168 7457364224 8389534752 11186046336 14914728448 16779069504 22372092672 29829456896 33558139008 44744185344 59658913792 67116278016 89488370688 134232556032 178976741376 268465112064 536930224128