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97130404320 = 25351451139459
BaseRepresentation
bin101101001110101101…
…1000101100111100000
3100021201011222210000020
41122131123011213200
53042410340414240
6112342053353440
710005660546225
oct1323533054740
9307634883006
1097130404320
1138213643424
12169a8938880
13920c155a31
1449b5cc194c
1527d73540d0
hex169d6c59e0

97130404320 has 96 divisors (see below), whose sum is σ = 306173831040. Its totient is φ = 25883404800.

The previous prime is 97130404307. The next prime is 97130404321. The reversal of 97130404320 is 2340403179.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97130404321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626751 + ... + 766209.

It is an arithmetic number, because the mean of its divisors is an integer number (3189310740).

Almost surely, 297130404320 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 97130404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153086915520).

97130404320 is an abundant number, since it is smaller than the sum of its proper divisors (209043426720).

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

97130404320 is a wasteful number, since it uses less digits than its factorization.

97130404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140928 (or 140920 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 97130404320 its reverse (2340403179), we get a palindrome (99470807499).

The spelling of 97130404320 in words is "ninety-seven billion, one hundred thirty million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1451 2902 4353 5804 7255 8706 11608 14510 17412 21765 23216 29020 34824 43530 46432 58040 69648 87060 116080 139296 139459 174120 232160 278918 348240 418377 557836 696480 697295 836754 1115672 1394590 1673508 2091885 2231344 2789180 3347016 4183770 4462688 5578360 6694032 8367540 11156720 13388064 16735080 22313440 33470160 66940320 202355009 404710018 607065027 809420036 1011775045 1214130054 1618840072 2023550090 2428260108 3035325135 3237680144 4047100180 4856520216 6070650270 6475360288 8094200360 9713040432 12141300540 16188400720 19426080864 24282601080 32376801440 48565202160 97130404320