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19741234716 = 22327439178447
BaseRepresentation
bin10010011000101010…
…110101011000011100
31212221210121122000100
4102120222311120130
5310412224002331
613022523101100
71266130504110
oct223052653034
955853548010
1019741234716
118410459915
1239ab371790
131b27bb6698
14d53ba7740
157a81a4ae6
hex498ab561c

19741234716 has 72 divisors (see below), whose sum is σ = 57160463360. Its totient is φ = 5627473056.

The previous prime is 19741234703. The next prime is 19741234763. The reversal of 19741234716 is 61743214791.

It is a happy number.

19741234716 is a `hidden beast` number, since 197 + 412 + 3 + 47 + 1 + 6 = 666.

It is a super-2 number, since 2×197412347162 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21405 + ... + 199851.

Almost surely, 219741234716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19741234716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28580231680).

19741234716 is an abundant number, since it is smaller than the sum of its proper divisors (37419228644).

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

19741234716 is a wasteful number, since it uses less digits than its factorization.

19741234716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178903 (or 178898 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 19741234716 in words is "nineteen billion, seven hundred forty-one million, two hundred thirty-four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 439 878 1317 1756 2634 3073 3951 5268 6146 7902 9219 12292 15804 18438 27657 36876 55314 110628 178447 356894 535341 713788 1070682 1249129 1606023 2141364 2498258 3212046 3747387 4996516 6424092 7494774 11242161 14989548 22484322 44968644 78338233 156676466 235014699 313352932 470029398 548367631 705044097 940058796 1096735262 1410088194 1645102893 2193470524 2820176388 3290205786 4935308679 6580411572 9870617358 19741234716