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151054797348 = 2233713195315263
BaseRepresentation
bin1000110010101110010…
…0010100101000100100
3112102220021020202211000
42030223210110220210
54433330012003343
6153221004313300
713625164410120
oct2145344245044
9472807222730
10151054797348
1159075549aa4
1225337b42830
1311323c644c0
14744d8c4580
153de14d6ed3
hex232b914a24

151054797348 has 384 divisors, whose sum is σ = 516973363200. Its totient is φ = 37027321344.

The previous prime is 151054797323. The next prime is 151054797349. The reversal of 151054797348 is 843797450151.

151054797348 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 547 + 97 + 3 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 151054797294 and 151054797303.

It is not an unprimeable number, because it can be changed into a prime (151054797349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9889165 + ... + 9904427.

It is an arithmetic number, because the mean of its divisors is an integer number (1346284800).

Almost surely, 2151054797348 is an apocalyptic number.

151054797348 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 151054797348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258486681600).

151054797348 is an abundant number, since it is smaller than the sum of its proper divisors (365918565852).

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

151054797348 is a wasteful number, since it uses less digits than its factorization.

151054797348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15368 (or 15360 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 151054797348 in words is "one hundred fifty-one billion, fifty-four million, seven hundred ninety-seven thousand, three hundred forty-eight".