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97695195000 = 2335413501001
BaseRepresentation
bin101101011111100010…
…1100101111101111000
3100100011112202010011120
41122333011211331320
53100034432220000
6112514111025240
710025656312254
oct1327705457570
9310145663146
1097695195000
1138483432a87
1216b25b0b220
13929c1744c0
144a2ad01264
15281bc196a0
hex16bf165f78

97695195000 has 160 divisors (see below), whose sum is σ = 328677352080. Its totient is φ = 24048000000.

The previous prime is 97695194999. The next prime is 97695195089. The reversal of 97695195000 is 59159679.

It is a happy number.

It is a super-2 number, since 2×976951950002 (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 55501 + ... + 445500.

Almost surely, 297695195000 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 97695195000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164338676040).

97695195000 is an abundant number, since it is smaller than the sum of its proper divisors (230982157080).

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

97695195000 is a wasteful number, since it uses less digits than its factorization.

97695195000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501043 (or 501024 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 51.

The spelling of 97695195000 in words is "ninety-seven billion, six hundred ninety-five million, one hundred ninety-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 625 650 750 780 975 1000 1250 1300 1500 1560 1625 1875 1950 2500 2600 3000 3250 3750 3900 4875 5000 6500 7500 7800 8125 9750 13000 15000 16250 19500 24375 32500 39000 48750 65000 97500 195000 501001 1002002 1503003 2004004 2505005 3006006 4008008 5010010 6012012 6513013 7515015 10020020 12024024 12525025 13026026 15030030 19539039 20040040 25050050 26052052 30060060 32565065 37575075 39078078 50100100 52104104 60120120 62625125 65130130 75150150 78156156 97695195 100200200 125250250 130260260 150300300 156312312 162825325 187875375 195390390 250500500 260520520 300600600 313125625 325650650 375750750 390780780 488475975 501001000 626251250 651301300 751501500 781561560 814126625 939376875 976951950 1252502500 1302602600 1503003000 1628253250 1878753750 1953903900 2442379875 2505005000 3256506500 3757507500 3907807800 4070633125 4884759750 6513013000 7515015000 8141266250 9769519500 12211899375 16282532500 19539039000 24423798750 32565065000 48847597500 97695195000