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628966387026 = 2321941186124103
BaseRepresentation
bin10010010011100010101…
…00010110110101010010
32020010110202012222102100
421021301110112311102
540301110343341101
61200535420301230
763304242035655
oct11116124266522
92203422188370
10628966387026
1122281a14592a
12a1a936a1816
1347407b46aa3
142262931189c
1511562d75e86
hex9271516d52

628966387026 has 96 divisors (see below), whose sum is σ = 1470322788480. Its totient is φ = 193664390400.

The previous prime is 628966387001. The next prime is 628966387051. The reversal of 628966387026 is 620783669826.

It is an interprime number because it is at equal distance from previous prime (628966387001) and next prime (628966387051).

It is a super-2 number, since 2×6289663870262 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26082891 + ... + 26106993.

It is an arithmetic number, because the mean of its divisors is an integer number (15315862380).

Almost surely, 2628966387026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628966387026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735161394240).

628966387026 is an abundant number, since it is smaller than the sum of its proper divisors (841356401454).

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

628966387026 is a wasteful number, since it uses less digits than its factorization.

628966387026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26032 (or 26029 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 628966387026 in words is "six hundred twenty-eight billion, nine hundred sixty-six million, three hundred eighty-seven thousand, twenty-six".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 1861 2337 3722 4674 5583 7011 11166 14022 16749 24103 33498 35359 48206 70718 72309 76301 106077 144618 152602 212154 216927 228903 318231 433854 457806 457957 636462 686709 915914 988223 1373418 1373871 1449719 1976446 2747742 2899438 2964669 4121613 4349157 5929338 8243226 8698314 8894007 13047471 17788014 18776237 26094942 37552474 44855683 56328711 89711366 112657422 134567049 168986133 269134098 337972266 403701147 807402294 852257977 1704515954 1839083003 2556773931 3678166006 5113547862 5517249009 7670321793 11034498018 15340643586 16551747027 33103494054 34942577057 69885154114 104827731171 209655462342 314483193513 628966387026