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10317085328484 = 223211241211872
BaseRepresentation
bin1001011000100010001000…
…1101001100010001100100
31100112022012102012220011100
42112020202031030101210
52323013342321002414
633535334212040100
72113245664226154
oct226104215142144
940468172186140
1010317085328484
1133184a677a500
1211a762b003030
1359ab8785504c
142794c7402764
1512d587531609
hex9622234c464

10317085328484 has 243 divisors, whose sum is σ = 29406665284633. Its totient is φ = 3047566473600.

The previous prime is 10317085328477. The next prime is 10317085328491. The reversal of 10317085328484 is 48482358071301.

The square root of 10317085328484 is 3212022.

It is a perfect power (a square), and thus also a powerful number.

10317085328484 is a `hidden beast` number, since 1 + 0 + 31 + 70 + 8 + 532 + 8 + 4 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10317085328477) and next prime (10317085328491).

It can be written as a sum of positive squares in only one way, i.e., 497134986084 + 9819950342400 = 705078^2 + 3133680^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10317085328484.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8691730939 + ... + 8691732125.

Almost surely, 210317085328484 is an apocalyptic number.

10317085328484 is the 3212022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10317085328484

10317085328484 is an abundant number, since it is smaller than the sum of its proper divisors (19089579956149).

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

10317085328484 is a wasteful number, since it uses less digits than its factorization.

10317085328484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 10317085328484 in words is "ten trillion, three hundred seventeen billion, eighty-five million, three hundred twenty-eight thousand, four hundred eighty-four".