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630106060528 = 247172695092417
BaseRepresentation
bin10010010101101010011…
…11110111011011110000
32020020102011201101120001
421022311033313123300
540310424122414103
61201244451355344
763344421100150
oct11126517673360
92206364641501
10630106060528
1122325449845a
12a21512b2b54
1347559ca87c9
14226d681a760
15115cce4701d
hex92b53f76f0

630106060528 has 160 divisors (see below), whose sum is σ = 1486327190400. Its totient is φ = 252613558272.

The previous prime is 630106060501. The next prime is 630106060589. The reversal of 630106060528 is 825060601036.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260696376 + ... + 260698792.

It is an arithmetic number, because the mean of its divisors is an integer number (9289544940).

Almost surely, 2630106060528 is an apocalyptic number.

630106060528 is a gapful number since it is divisible by the number (68) 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 630106060528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743163595200).

630106060528 is an abundant number, since it is smaller than the sum of its proper divisors (856221129872).

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

630106060528 is a wasteful number, since it uses less digits than its factorization.

630106060528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 630106060528 in words is "six hundred thirty billion, one hundred six million, sixty thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 269 272 476 509 538 952 1018 1076 1883 1904 2036 2152 2417 3563 3766 4072 4304 4573 4834 7126 7532 8144 8653 9146 9668 14252 15064 16919 17306 18292 19336 28504 30128 32011 33838 34612 36584 38672 41089 57008 60571 64022 67676 69224 73168 82178 121142 128044 135352 136921 138448 164356 242284 256088 270704 273842 287623 328712 484568 512176 547684 575246 650173 657424 958447 969136 1095368 1150492 1230253 1300346 1916894 2190736 2300984 2327657 2460506 2600692 3833788 4551211 4601968 4655314 4921012 5201384 7667576 8611771 9102422 9310628 9842024 10402768 11052941 15335152 16293599 17223542 18204844 18621256 19684048 20914301 22105882 32587198 34447084 36409688 37242512 41828602 44211764 65174396 68894168 72819376 77370587 83657204 88423528 130348792 137788336 146400107 154741174 167314408 176847056 260697584 292800214 309482348 330938057 334628816 585600428 618964696 661876114 1171200856 1237929392 1323752228 2316566399 2342401712 2647504456 4633132798 5295008912 5625946969 9266265596 11251893938 18532531192 22503787876 37065062384 39381628783 45007575752 78763257566 90015151504 157526515132 315053030264 630106060528