Search a number
-
+
19750955616 = 2532710197001
BaseRepresentation
bin10010011001001111…
…111010101001100000
31212222110220111120200
4102121033322221200
5310422221034431
613023511305200
71266306231660
oct223117725140
955873814520
1019750955616
118415999317
1239b267b200
131b29c0b1b2
14d551b81a0
157a8e74ee6
hex4993faa60

19750955616 has 144 divisors (see below), whose sum is σ = 64826824608. Its totient is φ = 5587200000.

The previous prime is 19750955611. The next prime is 19750955617. The reversal of 19750955616 is 61655905791.

19750955616 is a `hidden beast` number, since 1 + 9 + 75 + 0 + 9 + 5 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19750955611) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 155116 + ... + 252116.

It is an arithmetic number, because the mean of its divisors is an integer number (450186282).

Almost surely, 219750955616 is an apocalyptic number.

19750955616 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 19750955616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32413412304).

19750955616 is an abundant number, since it is smaller than the sum of its proper divisors (45075868992).

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

19750955616 is a wasteful number, since it uses less digits than its factorization.

19750955616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97125 (or 97114 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 54.

It can be divided in two parts, 19 and 750955616, that added together give a triangular number (750955635 = T38754).

The spelling of 19750955616 in words is "nineteen billion, seven hundred fifty million, nine hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 101 112 126 144 168 202 224 252 288 303 336 404 504 606 672 707 808 909 1008 1212 1414 1616 1818 2016 2121 2424 2828 3232 3636 4242 4848 5656 6363 7272 8484 9696 11312 12726 14544 16968 22624 25452 29088 33936 50904 67872 97001 101808 194002 203616 291003 388004 582006 679007 776008 873009 1164012 1358014 1552016 1746018 2037021 2328024 2716028 3104032 3492036 4074042 4656048 5432056 6111063 6984072 8148084 9312096 9797101 10864112 12222126 13968144 16296168 19594202 21728224 24444252 27936288 29391303 32592336 39188404 48888504 58782606 65184672 68579707 78376808 88173909 97777008 117565212 137159414 156753616 176347818 195554016 205739121 235130424 274318828 313507232 352695636 411478242 470260848 548637656 617217363 705391272 822956484 940521696 1097275312 1234434726 1410782544 1645912968 2194550624 2468869452 2821565088 3291825936 4937738904 6583651872 9875477808 19750955616