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35528038968 = 23329595931459
BaseRepresentation
bin100001000101101000…
…101101101000111000
310101201000021101020010
4201011220231220320
51040230134221333
624153225101520
72365263230352
oct410550555070
9111630241203
1035528038968
1114081719584
126a763278a0
133472745286
141a106c00d2
15dce0d6563
hex845a2da38

35528038968 has 128 divisors (see below), whose sum is σ = 93661920000. Its totient is φ = 11213862912.

The previous prime is 35528038957. The next prime is 35528038993. The reversal of 35528038968 is 86983082553.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24350223 + ... + 24351681.

It is an arithmetic number, because the mean of its divisors is an integer number (731733750).

Almost surely, 235528038968 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 35528038968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46830960000).

35528038968 is an abundant number, since it is smaller than the sum of its proper divisors (58133881032).

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

35528038968 is a wasteful number, since it uses less digits than its factorization.

35528038968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 35528038968 in words is "thirty-five billion, five hundred twenty-eight million, thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 59 87 116 118 174 177 232 236 348 354 472 593 696 708 1186 1416 1459 1711 1779 2372 2918 3422 3558 4377 4744 5133 5836 6844 7116 8754 10266 11672 13688 14232 17197 17508 20532 34394 34987 35016 41064 42311 51591 68788 69974 84622 86081 103182 104961 126933 137576 139948 169244 172162 206364 209922 253866 258243 279896 338488 344324 412728 419844 507732 516486 688648 839688 865187 1014623 1015464 1032972 1730374 2029246 2065944 2496349 2595561 3043869 3460748 4058492 4992698 5191122 6087738 6921496 7489047 8116984 9985396 10382244 12175476 14978094 19970792 20764488 24350952 25090423 29956188 50180846 51046033 59912376 75271269 100361692 102092066 150542538 153138099 200723384 204184132 301085076 306276198 408368264 602170152 612552396 1225104792 1480334957 2960669914 4441004871 5921339828 8882009742 11842679656 17764019484 35528038968