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97115901552 = 243237154311813
BaseRepresentation
bin101101001110010001…
…1110000111001110000
3100021200011200221221200
41122130203300321300
53042343132322202
6112340414451200
710005423354135
oct1323443607160
9307604627850
1097115901552
113820643826a
12169a3b03b00
139209148807
1449b3dc858c
1527d5e3be1c
hex169c8f0e70

97115901552 has 120 divisors (see below), whose sum is σ = 279339856224. Its totient is φ = 31473971712.

The previous prime is 97115901473. The next prime is 97115901557. The reversal of 97115901552 is 25510951179.

It is a happy number.

97115901552 is a `hidden beast` number, since 9 + 7 + 1 + 1 + 5 + 90 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 97115901498 and 97115901507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97115901557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8215198 + ... + 8227010.

Almost surely, 297115901552 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 97115901552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139669928112).

97115901552 is an abundant number, since it is smaller than the sum of its proper divisors (182223954672).

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

97115901552 is a wasteful number, since it uses less digits than its factorization.

97115901552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13407 (or 13398 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 45.

The spelling of 97115901552 in words is "ninety-seven billion, one hundred fifteen million, nine hundred one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1543 1776 2664 3086 4629 5328 6172 9258 11813 12344 13887 18516 23626 24688 27774 35439 37032 47252 55548 57091 70878 74064 94504 106317 111096 114182 141756 171273 189008 212634 222192 228364 283512 342546 425268 437081 456728 513819 567024 685092 850536 874162 913456 1027638 1311243 1370184 1701072 1748324 2055276 2622486 2740368 3496648 3933729 4110552 5244972 6993296 7867458 8221104 10489944 15734916 18227459 20979888 31469832 36454918 54682377 62939664 72909836 109364754 145819672 164047131 218729508 291639344 328094262 437459016 656188524 674415983 874918032 1312377048 1348831966 2023247949 2624754096 2697663932 4046495898 5395327864 6069743847 8092991796 10790655728 12139487694 16185983592 24278975388 32371967184 48557950776 97115901552