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97301427520 = 26511214112911
BaseRepresentation
bin101101010011110011…
…1011111010101000000
3100022011002210122201211
41122213213133111000
53043233131140040
6112411043135504
710013135326153
oct1324747372500
9308132718654
1097301427520
11382a1134710
1216a36074594
1392387059ab
1449d08bdc9a
1527e73878ea
hex16a79df540

97301427520 has 112 divisors (see below), whose sum is σ = 252900216576. Its totient is φ = 35363072000.

The previous prime is 97301427479. The next prime is 97301427607. The reversal of 97301427520 is 2572410379.

97301427520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7529865 + ... + 7542775.

It is an arithmetic number, because the mean of its divisors is an integer number (2258037648).

Almost surely, 297301427520 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 97301427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126450108288).

97301427520 is an abundant number, since it is smaller than the sum of its proper divisors (155598789056).

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

97301427520 is a wasteful number, since it uses less digits than its factorization.

97301427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15080 (or 15070 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

Adding to 97301427520 its reverse (2572410379), we get a palindrome (99873837899).

The spelling of 97301427520 in words is "ninety-seven billion, three hundred one million, four hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 2141 3520 4282 8564 10705 12911 17128 21410 23551 25822 34256 42820 47102 51644 64555 68512 85640 94204 103288 117755 129110 137024 142021 171280 188408 206576 235510 258220 284042 342560 376816 413152 471020 516440 568084 685120 710105 753632 826304 942040 1032880 1136168 1420210 1507264 1884080 2065760 2272336 2840420 3768160 4131520 4544672 5680840 7536320 9089344 11361680 22723360 27642451 45446720 55284902 110569804 138212255 221139608 276424510 304066961 442279216 552849020 608133922 884558432 1105698040 1216267844 1520334805 1769116864 2211396080 2432535688 3040669610 4422792160 4865071376 6081339220 8845584320 9730142752 12162678440 19460285504 24325356880 48650713760 97301427520