Search a number
-
+
130447178201088 = 21132719445711939
BaseRepresentation
bin11101101010010000011001…
…101101111111100000000000
3122002212121222010200120222200
4131222100121231333200000
5114044221310104413323
61141234334550433200
736322332452536320
oct3552203155774000
9562777863616880
10130447178201088
1138623379386361
1212769654062800
1357a3168172b38
14242d969dd5280
15101336cc43443
hex76a419b7f800

130447178201088 has 576 divisors, whose sum is σ = 453379241952000. Its totient is φ = 35298131705856.

The previous prime is 130447178201083. The next prime is 130447178201101. The reversal of 130447178201088 is 880102871744031.

It is a happy number.

130447178201088 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 471 + 7 + 82 + 0 + 10 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130447178201083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10926133423 + ... + 10926145361.

It is an arithmetic number, because the mean of its divisors is an integer number (787116739500).

Almost surely, 2130447178201088 is an apocalyptic number.

130447178201088 is a gapful number since it is divisible by the number (18) 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 130447178201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226689620976000).

130447178201088 is an abundant number, since it is smaller than the sum of its proper divisors (322932063750912).

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

130447178201088 is a wasteful number, since it uses less digits than its factorization.

130447178201088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16450 (or 16427 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 130447178201088 in words is "one hundred thirty trillion, four hundred forty-seven billion, one hundred seventy-eight million, two hundred one thousand, eighty-eight".