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190463157648 = 2434146962313
BaseRepresentation
bin1011000101100001111…
…1010010010110010000
3200012121201000220020000
42301120133102112100
511110032032021043
6223255250250000
716521566061621
oct2613037222620
9605551026200
10190463157648
117385853a405
1230ab5886900
1314c645875aa
14930b683a48
154e4b0a32d3
hex2c587d2590

190463157648 has 50 divisors (see below), whose sum is σ = 551255639814. Its totient is φ = 63487718784.

The previous prime is 190463157607. The next prime is 190463157691. The reversal of 190463157648 is 846751364091.

190463157648 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 63 + 1 + 576 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165281276304 + 25181881344 = 406548^2 + 158688^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 190463157594 and 190463157603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 73479861 + ... + 73482452.

Almost surely, 2190463157648 is an apocalyptic number.

190463157648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

190463157648 is an abundant number, since it is smaller than the sum of its proper divisors (360792482166).

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

190463157648 is a wasteful number, since it uses less digits than its factorization.

190463157648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146962333 (or 146962318 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 190463157648 in words is "one hundred ninety billion, four hundred sixty-three million, one hundred fifty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 146962313 293924626 440886939 587849252 881773878 1175698504 1322660817 1763547756 2351397008 2645321634 3527095512 3967982451 5290643268 7054191024 7935964902 10581286536 11903947353 15871929804 21162573072 23807894706 31743859608 47615789412 63487719216 95231578824 190463157648