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1012957529472 = 273578356053
BaseRepresentation
bin11101011110110001111…
…10010100010110000000
310120211121202022010100000
432233120332110112000
5113044014111420342
62053202443200000
7133120013635620
oct16573076242600
93524552263300
101012957529472
11360658132639
12144399516000
13746a191a345
14370552b8880
151b5390c944c
hexebd8f94580

1012957529472 has 384 divisors, whose sum is σ = 3496370492160. Its totient is φ = 285924390912.

The previous prime is 1012957529471. The next prime is 1012957529489. The reversal of 1012957529472 is 2749257592101.

1012957529472 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 9 + 575 + 29 + 47 + 2 = 666.

1012957529472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012957529471) 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, 18043398 + ... + 18099450.

It is an arithmetic number, because the mean of its divisors is an integer number (9105131490).

Almost surely, 21012957529472 is an apocalyptic number.

1012957529472 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 1012957529472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748185246080).

1012957529472 is an abundant number, since it is smaller than the sum of its proper divisors (2483412962688).

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

1012957529472 is an frugal number, since it uses more digits than its factorization.

1012957529472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56172 (or 56148 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 1012957529472 in words is "one trillion, twelve billion, nine hundred fifty-seven million, five hundred twenty-nine thousand, four hundred seventy-two".