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97942313106 = 23311732258713
BaseRepresentation
bin101101100110111010…
…0010001100010010010
3100100210202202000111000
41123031310101202102
53101041213004411
6112554415402430
710035046632231
oct1331564214222
9310722660430
1097942313106
113859a978520
1216b94823416
13930b418231
144a51a6ab18
15283377e956
hex16cdd11892

97942313106 has 64 divisors (see below), whose sum is σ = 240688563840. Its totient is φ = 29272907520.

The previous prime is 97942313101. The next prime is 97942313171. The reversal of 97942313106 is 60131324979.

97942313106 is a `hidden beast` number, since 97 + 9 + 423 + 131 + 0 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (97942313101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1085995 + ... + 1172718.

It is an arithmetic number, because the mean of its divisors is an integer number (3760758810).

Almost surely, 297942313106 is an apocalyptic number.

97942313106 is an abundant number, since it is smaller than the sum of its proper divisors (142746250734).

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

97942313106 is a wasteful number, since it uses less digits than its factorization.

97942313106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258808 (or 2258802 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 97942313106 in words is "ninety-seven billion, nine hundred forty-two million, three hundred thirteen thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 73 99 146 198 219 297 438 594 657 803 1314 1606 1971 2409 3942 4818 7227 14454 21681 43362 2258713 4517426 6776139 13552278 20328417 24845843 40656834 49691686 60985251 74537529 121970502 149075058 164886049 223612587 329772098 447225174 494658147 670837761 989316294 1341675522 1483974441 1813746539 2967948882 3627493078 4451923323 5441239617 8903846646 10882479234 16323718851 32647437702 48971156553 97942313106