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5630256016 = 2472111934361
BaseRepresentation
bin1010011111001011…
…01110001110010000
3112112101022122021121
411033211232032100
543012321143031
62330403532024
7256344246400
oct51745561620
915471278247
105630256016
11242a150750
12111168a014
136b95bbb48
143b5a82800
1522e44e011
hex14f96e390

5630256016 has 120 divisors (see below), whose sum is σ = 14572236960. Its totient is φ = 2078092800.

The previous prime is 5630255933. The next prime is 5630256017. The reversal of 5630256016 is 6106520365.

It is not an unprimeable number, because it can be changed into a prime (5630256017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146676 + ... + 181036.

It is an arithmetic number, because the mean of its divisors is an integer number (121435308).

Almost surely, 25630256016 is an apocalyptic number.

5630256016 is a gapful number since it is divisible by the number (56) 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 5630256016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286118480).

5630256016 is an abundant number, since it is smaller than the sum of its proper divisors (8941980944).

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

5630256016 is a wasteful number, since it uses less digits than its factorization.

5630256016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34413 (or 34400 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 5630256016 is about 75035.0319250948. The cubic root of 5630256016 is about 1779.0004083406. Note that the first 3 decimals are identical.

The spelling of 5630256016 in words is "five billion, six hundred thirty million, two hundred fifty-six thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 49 56 76 77 88 98 112 133 152 154 176 196 209 266 304 308 392 418 532 539 616 784 836 931 1064 1078 1232 1463 1672 1862 2128 2156 2926 3344 3724 4312 5852 7448 8624 10241 11704 14896 20482 23408 34361 40964 68722 81928 137444 163856 240527 274888 377971 481054 549776 652859 755942 962108 1305718 1511884 1683689 1924216 2611436 2645797 3023768 3367378 3848432 4570013 5222872 5291594 6047536 6734756 7181449 9140026 10445744 10583188 13469512 14362898 18280052 18520579 21166376 26939024 28725796 31990091 36560104 37041158 42332752 50270143 57451592 63980182 73120208 74082316 100540286 114903184 127960364 148164632 201080572 255920728 296329264 351891001 402161144 511841456 703782002 804322288 1407564004 2815128008 5630256016