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97629963228 = 223207
BaseRepresentation
bin101101011101100110…
…0110000001111011100
3100100000000000000000000
41122323030300033130
53044421232310403
6112503420534300
710024234665210
oct1327314601734
9310000000000
1097629963228
113844a629426
1216b080b1390
13928b7b5115
144a223a0940
1528161317a3
hex16bb3303dc

97629963228 has 126 divisors (see below), whose sum is σ = 292889889656. Its totient is φ = 27894275208.

The previous prime is 97629963191. The next prime is 97629963259. The reversal of 97629963228 is 82236992679.

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (35271936) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 13947137601 + ... + 13947137607.

Almost surely, 297629963228 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 97629963228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146444944828).

97629963228 is an abundant number, since it is smaller than the sum of its proper divisors (195259926428).

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

97629963228 is an frugal number, since it uses more digits than its factorization.

97629963228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 12 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

Multiplying 97629963228 by its sum of digits (63), we get a square (6150687683364 = 24800582).

97629963228 divided by its sum of digits (63) gives a square (1549681956 = 393662).

The spelling of 97629963228 in words is "ninety-seven billion, six hundred twenty-nine million, nine hundred sixty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2187 2268 2916 3402 4374 5103 6561 6804 8748 10206 13122 15309 19683 20412 26244 30618 39366 45927 59049 61236 78732 91854 118098 137781 177147 183708 236196 275562 354294 413343 531441 551124 708588 826686 1062882 1240029 1594323 1653372 2125764 2480058 3188646 3720087 4782969 4960116 6377292 7440174 9565938 11160261 14348907 14880348 19131876 22320522 28697814 33480783 43046721 44641044 57395628 66961566 86093442 100442349 129140163 133923132 172186884 200884698 258280326 301327047 387420489 401769396 516560652 602654094 774840978 903981141 1162261467 1205308188 1549681956 1807962282 2324522934 2711943423 3486784401 3615924564 4649045868 5423886846 6973568802 8135830269 10847773692 13947137604 16271660538 24407490807 32543321076 48814981614 97629963228