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1151045504 = 2771379377
BaseRepresentation
bin100010010011011…
…1000111110000000
32222012220011120222
41010212320332000
54324131424004
6310114522212
740344503540
oct10446707600
92865804528
101151045504
1154080a584
12281596368
13154613c1b
14acc29320
156b0ba7be
hex449b8f80

1151045504 has 64 divisors (see below), whose sum is σ = 2640094560. Its totient is φ = 489652224.

The previous prime is 1151045491. The next prime is 1151045551. The reversal of 1151045504 is 4055401511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11510455042 = 2649811504557228032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118064 + ... + 127440.

Almost surely, 21151045504 is an apocalyptic number.

1151045504 is a gapful number since it is divisible by the number (14) 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 1151045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320047280).

1151045504 is an abundant number, since it is smaller than the sum of its proper divisors (1489049056).

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

1151045504 is an equidigital number, since it uses as much as digits as its factorization.

1151045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9535 (or 9523 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 1151045504 is about 33927.0615291098. The cubic root of 1151045504 is about 1048.0069537056.

The spelling of 1151045504 in words is "one billion, one hundred fifty-one million, forty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 274 448 548 896 959 1096 1918 2192 3836 4384 7672 8768 9377 15344 17536 18754 30688 37508 61376 65639 75016 122752 131278 150032 262556 300064 525112 600128 1050224 1200256 1284649 2100448 2569298 4200896 5138596 8401792 8992543 10277192 17985086 20554384 35970172 41108768 71940344 82217536 143880688 164435072 287761376 575522752 1151045504