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97434748000 = 255383929033
BaseRepresentation
bin101101010111110010…
…0000100010001100000
3100022111101200001001101
41122233210010101200
53044021243414000
6112432204444144
710016344456462
oct1325744042140
9308441601041
1097434748000
113835a414327
1216a72849654
13925a214955
144a044a6132
152803e1ee6a
hex16af904460

97434748000 has 96 divisors (see below), whose sum is σ = 239690767680. Its totient is φ = 38926105600.

The previous prime is 97434747973. The next prime is 97434748003. The reversal of 97434748000 is 84743479.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97434748003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3341484 + ... + 3370516.

It is an arithmetic number, because the mean of its divisors is an integer number (2496778830).

Almost surely, 297434748000 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 97434748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119845383840).

97434748000 is an abundant number, since it is smaller than the sum of its proper divisors (142256019680).

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

97434748000 is a wasteful number, since it uses less digits than its factorization.

97434748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29897 (or 29879 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 97434748000 in words is "ninety-seven billion, four hundred thirty-four million, seven hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 839 1000 1678 2000 3356 4000 4195 6712 8390 13424 16780 20975 26848 29033 33560 41950 58066 67120 83900 104875 116132 134240 145165 167800 209750 232264 290330 335600 419500 464528 580660 671200 725825 839000 929056 1161320 1451650 1678000 2322640 2903300 3356000 3629125 4645280 5806600 7258250 11613200 14516500 23226400 24358687 29033000 48717374 58066000 97434748 116132000 121793435 194869496 243586870 389738992 487173740 608967175 779477984 974347480 1217934350 1948694960 2435868700 3044835875 3897389920 4871737400 6089671750 9743474800 12179343500 19486949600 24358687000 48717374000 97434748000