Search a number
-
+
677051755434 = 233112915717069
BaseRepresentation
bin10011101101000110110…
…11011110101110101010
32101201120220022210021000
421312203123132232222
542043100222133214
61235011104455430
766625654652265
oct11664333365652
92351526283230
10677051755434
1124115507991a
12ab27331a576
134bacc02c1c2
1424aab649cdc
15129295bc809
hex9da36debaa

677051755434 has 64 divisors (see below), whose sum is σ = 1507063824000. Its totient is φ = 225308615040.

The previous prime is 677051755397. The next prime is 677051755487. The reversal of 677051755434 is 434557150776.

677051755434 is a `hidden beast` number, since 6 + 7 + 7 + 0 + 51 + 7 + 554 + 34 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95774052 + ... + 95781120.

It is an arithmetic number, because the mean of its divisors is an integer number (23547872250).

Almost surely, 2677051755434 is an apocalyptic number.

677051755434 is an abundant number, since it is smaller than the sum of its proper divisors (830012068566).

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

677051755434 is a wasteful number, since it uses less digits than its factorization.

677051755434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9780 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 677051755434 in words is "six hundred seventy-seven billion, fifty-one million, seven hundred fifty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 1129 1571 2258 3142 3387 4713 6774 7069 9426 10161 14138 14139 20322 21207 28278 30483 42414 42417 60966 63621 84834 127242 190863 381726 1773659 3547318 5320977 7980901 10641954 11105399 15961802 15962931 22210798 23942703 31925862 33316197 47885406 47888793 66632394 71828109 95777586 99948591 143656218 199897182 215484327 299845773 430968654 599691546 12537995471 25075990942 37613986413 75227972826 112841959239 225683918478 338525877717 677051755434