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97362254088 = 233211233432
BaseRepresentation
bin101101010101100111…
…1100001100100001000
3100022022100020222002200
41122223033201210020
53043344214112323
6112421055000200
710014504335121
oct1325317414410
9308270228080
1097362254088
11383224aa600
1216a52509060
1392481b1c48
1449d89d5048
1527ec8a0443
hex16ab3e1908

97362254088 has 108 divisors (see below), whose sum is σ = 289927183455. Its totient is φ = 29494887840.

The previous prime is 97362254051. The next prime is 97362254111. The reversal of 97362254088 is 88045226379.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

97362254088 is a `hidden beast` number, since 9 + 7 + 3 + 6 + 225 + 408 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48681127044 + 48681127044 = 220638^2 + 220638^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=220638.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29122545 + ... + 29125887.

Almost surely, 297362254088 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 97362254088

97362254088 is an abundant number, since it is smaller than the sum of its proper divisors (192564929367).

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

97362254088 is a wasteful number, since it uses less digits than its factorization.

97362254088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6720 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 97362254088 in words is "ninety-seven billion, three hundred sixty-two million, two hundred fifty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 3343 4356 6686 8712 10029 13372 20058 26744 30087 36773 40116 60174 73546 80232 110319 120348 147092 220638 240696 294184 330957 404503 441276 661914 809006 882552 1213509 1323828 1618012 2427018 2647656 3236024 3640527 4854036 7281054 9708072 11175649 14562108 22351298 29124216 33526947 44702596 67053894 89405192 100580841 122932139 134107788 201161682 245864278 268215576 368796417 402323364 491728556 737592834 804646728 983457112 1106389251 1352253529 1475185668 2212778502 2704507058 2950371336 4056760587 4425557004 5409014116 8113521174 8851114008 10818028232 12170281761 16227042348 24340563522 32454084696 48681127044 97362254088