Search a number
-
+
139274848656 = 2434157968059
BaseRepresentation
bin1000000110110101101…
…1011000100110010000
3111022111022012101010000
42001231123120212100
54240213330124111
6143552035210000
713030234452306
oct2015533304620
9438438171100
10139274848656
1154080026209
1222baaa46900
1310197587868
146a531c8276
153952231c56
hex206d6d8990

139274848656 has 100 divisors (see below), whose sum is σ = 403363034800. Its totient is φ = 46394866368.

The previous prime is 139274848651. The next prime is 139274848673. The reversal of 139274848656 is 656848472931.

139274848656 is a `hidden beast` number, since 1 + 3 + 9 + 27 + 484 + 86 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 139274848593 and 139274848602.

It is not an unprimeable number, because it can be changed into a prime (139274848651) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2012355 + ... + 2080413.

It is an arithmetic number, because the mean of its divisors is an integer number (4033630348).

Almost surely, 2139274848656 is an apocalyptic number.

139274848656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139274848656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201681517400).

139274848656 is an abundant number, since it is smaller than the sum of its proper divisors (264088186144).

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

139274848656 is a wasteful number, since it uses less digits than its factorization.

139274848656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69658 (or 69643 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 139274848656 in words is "one hundred thirty-nine billion, two hundred seventy-four million, eight hundred forty-eight thousand, six hundred fifty-six".

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 1579 3158 4737 6316 9474 12632 14211 18948 25264 28422 37896 42633 56844 68059 75792 85266 113688 127899 136118 170532 204177 227376 255798 272236 341064 408354 511596 544472 612531 682128 816708 1023192 1088944 1225062 1633416 1837593 2046384 2450124 3266832 3675186 4900248 5512779 7350372 9800496 11025558 14700744 22051116 29401488 44102232 88204464 107465161 214930322 322395483 429860644 644790966 859721288 967186449 1289581932 1719442576 1934372898 2579163864 2901559347 3868745796 5158327728 5803118694 7737491592 8704678041 11606237388 15474983184 17409356082 23212474776 34818712164 46424949552 69637424328 139274848656