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97628421030 = 235710122320641
BaseRepresentation
bin101101011101100011…
…0110111101110100110
3100022222220002122111120
41122323012313232212
53044420333433110
6112503323514410
710024215613050
oct1327306675646
9308886078446
1097628421030
1138449775788
1216b07688a06
13928b39518a
144a220bc8d0
152815e29870
hex16bb1b7ba6

97628421030 has 128 divisors (see below), whose sum is σ = 271657967616. Its totient is φ = 21993984000.

The previous prime is 97628420971. The next prime is 97628421047. The reversal of 97628421030 is 3012482679.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 4719510 + ... + 4740150.

It is an arithmetic number, because the mean of its divisors is an integer number (2122327872).

Almost surely, 297628421030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97628421030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135828983808).

97628421030 is an abundant number, since it is smaller than the sum of its proper divisors (174029546586).

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

97628421030 is a wasteful number, since it uses less digits than its factorization.

97628421030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20982.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 97628421030 in words is "ninety-seven billion, six hundred twenty-eight million, four hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 101 105 202 210 223 303 446 505 606 669 707 1010 1115 1338 1414 1515 1561 2121 2230 3030 3122 3345 3535 4242 4683 6690 7070 7805 9366 10605 15610 20641 21210 22523 23415 41282 45046 46830 61923 67569 103205 112615 123846 135138 144487 157661 206410 225230 288974 309615 315322 337845 433461 472983 619230 675690 722435 788305 866922 945966 1444870 1576610 2084741 2167305 2364915 4169482 4334610 4602943 4729830 6254223 9205886 10423705 12508446 13808829 14593187 20847410 23014715 27617658 29186374 31271115 32220601 43779561 46029430 62542230 64441202 69044145 72965935 87559122 96661803 138088290 145931870 161103005 193323606 218897805 322206010 437795610 464897243 483309015 929794486 966618030 1394691729 2324486215 2789383458 3254280701 4648972430 6508561402 6973458645 9762842103 13946917290 16271403505 19525684206 32542807010 48814210515 97628421030