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1156464231552 = 2736723141199
BaseRepresentation
bin10000110101000010101…
…000111100010010000000
311002120000222110221000000
4100311002220330102000
5122421414320402202
62243134454000000
7146360155530300
oct20650250742200
94076028427000
101156464231552
114064a9a00973
12168169646000
1385091b54386
143dd8a52b600
1520137acd91c
hex10d42a3c480

1156464231552 has 1344 divisors, whose sum is σ = 4270359744000. Its totient is φ = 310393036800.

The previous prime is 1156464231547. The next prime is 1156464231553. The reversal of 1156464231552 is 2551324646511.

1156464231552 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 4 + 64 + 2 + 31 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 1156464231498 and 1156464231507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156464231553) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5811377949 + ... + 5811378147.

It is an arithmetic number, because the mean of its divisors is an integer number (3177351000).

Almost surely, 21156464231552 is an apocalyptic number.

1156464231552 is a gapful number since it is divisible by the number (12) 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 1156464231552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135179872000).

1156464231552 is an abundant number, since it is smaller than the sum of its proper divisors (3113895512448).

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

1156464231552 is an equidigital number, since it uses as much as digits as its factorization.

1156464231552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 283 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 1156464231552 in words is "one trillion, one hundred fifty-six billion, four hundred sixty-four million, two hundred thirty-one thousand, five hundred fifty-two".