Search a number
-
+
129568951680 = 2735721781013
BaseRepresentation
bin111100010101011101…
…0010100110110000000
3110101102212211201111020
41320222322110312000
54110324122423210
6135305000145440
712234560626500
oct1705272246600
9411385751436
10129568951680
114aa4a328153
1221140468280
13c2ab7b205c
1463b2141a00
1535850ba770
hex1e2ae94d80

129568951680 has 384 divisors, whose sum is σ = 508696627680. Its totient is φ = 27873312768.

The previous prime is 129568951669. The next prime is 129568951691. The reversal of 129568951680 is 86159865921.

It is an interprime number because it is at equal distance from previous prime (129568951669) and next prime (129568951691).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1295689516802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1558854 + ... + 1639866.

Almost surely, 2129568951680 is an apocalyptic number.

129568951680 is a gapful number since it is divisible by the number (10) 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 129568951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254348313840).

129568951680 is an abundant number, since it is smaller than the sum of its proper divisors (379127676000).

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

129568951680 is a wasteful number, since it uses less digits than its factorization.

129568951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81066 (or 81047 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 60.

The spelling of 129568951680 in words is "one hundred twenty-nine billion, five hundred sixty-eight million, nine hundred fifty-one thousand, six hundred eighty".