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96972625040 = 2458316389597
BaseRepresentation
bin101101001010000000…
…1001101010010010000
3100021022012002202112012
41122110001031102100
53042044443000130
6112314255522052
710002033466304
oct1322401152220
9307265082465
1096972625040
1138142578525
1216963b29328
1391b5562005
14499cd6dd04
1527c8589995
hex169404d490

96972625040 has 80 divisors (see below), whose sum is σ = 229580180928. Its totient is φ = 38086184448.

The previous prime is 96972625033. The next prime is 96972625069. The reversal of 96972625040 is 4052627969.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 96972625040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1037522 + ... + 1127118.

Almost surely, 296972625040 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 96972625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114790090464).

96972625040 is an abundant number, since it is smaller than the sum of its proper divisors (132607555888).

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

96972625040 is a wasteful number, since it uses less digits than its factorization.

96972625040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89856 (or 89850 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 96972625040 in words is "ninety-six billion, nine hundred seventy-two million, six hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 163 166 326 332 415 652 664 815 830 1304 1328 1630 1660 2608 3260 3320 6520 6640 13040 13529 27058 54116 67645 89597 108232 135290 179194 216464 270580 358388 447985 541160 716776 895970 1082320 1433552 1791940 3583880 7167760 7436551 14604311 14873102 29208622 29746204 37182755 58417244 59492408 73021555 74365510 116834488 118984816 146043110 148731020 233668976 292086220 297462040 584172440 594924080 1168344880 1212157813 2424315626 4848631252 6060789065 9697262504 12121578130 19394525008 24243156260 48486312520 96972625040