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1054040520544 = 251121120117057
BaseRepresentation
bin11110101011010011011…
…01011111011101100000
310201202122220012022021221
433111221231133131200
5114232133333124134
62124115230224424
7136103051412034
oct17255155373540
93652586168257
101054040520544
1137701a438920
12150344055114
137851b17670b
14390316381c4
151c640bd75b4
hexf569b5f760

1054040520544 has 96 divisors (see below), whose sum is σ = 2275973949312. Its totient is φ = 476534016000.

The previous prime is 1054040520541. The next prime is 1054040520581. The reversal of 1054040520544 is 4450250404501.

It is a super-2 number, since 2×10540405205442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054040520541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149357464 + ... + 149364520.

It is an arithmetic number, because the mean of its divisors is an integer number (23708061972).

Almost surely, 21054040520544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054040520544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137986974656).

1054040520544 is an abundant number, since it is smaller than the sum of its proper divisors (1221933428768).

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

1054040520544 is a wasteful number, since it uses less digits than its factorization.

1054040520544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9300 (or 9292 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

The spelling of 1054040520544 in words is "one trillion, fifty-four billion, forty million, five hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 211 352 422 844 1688 2011 2321 3376 4022 4642 6752 7057 8044 9284 14114 16088 18568 22121 28228 32176 37136 44242 56456 64352 74272 77627 88484 112912 155254 176968 225824 310508 353936 424321 621016 707872 848642 1242032 1489027 1697284 2484064 2978054 3394568 4667531 5956108 6789136 9335062 11912216 13578272 14191627 16379297 18670124 23824432 28383254 32758594 37340248 47648864 56766508 65517188 74680496 113533016 131034376 149360992 156107897 227066032 262068752 312215794 454132064 524137504 624431588 1248863176 2497726352 2994433297 4995452704 5988866594 11977733188 23955466376 32938766267 47910932752 65877532534 95821865504 131755065068 263510130136 527020260272 1054040520544