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130554767070 = 2325713191077841
BaseRepresentation
bin111100110010110101…
…0111010011011011110
3110110222120211022222100
41321211222322123132
54114334010021240
6135550453425530
712301161132030
oct1714552723336
9413876738870
10130554767070
1150405842912
122137663b2a6
13c407ac3a80
146467039c50
1535e18e8e30
hex1e65aba6de

130554767070 has 384 divisors, whose sum is σ = 443929973760. Its totient is φ = 25848668160.

The previous prime is 130554767059. The next prime is 130554767107. The reversal of 130554767070 is 70767455031.

130554767070 is a `hidden beast` number, since 1 + 30 + 5 + 547 + 6 + 7 + 0 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16646350 + ... + 16654190.

It is an arithmetic number, because the mean of its divisors is an integer number (1156067640).

Almost surely, 2130554767070 is an apocalyptic number.

130554767070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130554767070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221964986880).

130554767070 is an abundant number, since it is smaller than the sum of its proper divisors (313375206690).

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

130554767070 is a wasteful number, since it uses less digits than its factorization.

130554767070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 130554767070 in words is "one hundred thirty billion, five hundred fifty-four million, seven hundred sixty-seven thousand, seventy".