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10210698304 = 261727432
BaseRepresentation
bin10011000001001101…
…01110010001000000
3222100121020012212021
421200212232101000
5131402414321204
64405110411224
7511013334502
oct114046562100
928317205767
1010210698304
11436a744844
121b8b660b14
13c6954c121
146cc12bd72
153eb62c154
hex2609ae440

10210698304 has 63 divisors (see below), whose sum is σ = 21552846277. Its totient is φ = 4798567424.

The previous prime is 10210698259. The next prime is 10210698313. The reversal of 10210698304 is 40389601201.

The square root of 10210698304 is 101048.

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

It can be written as a sum of positive squares in only one way, i.e., 7949505600 + 2261192704 = 89160^2 + 47552^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 10210698304.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13742157 + ... + 13742899.

Almost surely, 210210698304 is an apocalyptic number.

10210698304 is the 101048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210698304

10210698304 is an abundant number, since it is smaller than the sum of its proper divisors (11342147973).

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

10210698304 is an frugal number, since it uses more digits than its factorization.

10210698304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 10210698304 in words is "ten billion, two hundred ten million, six hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 743 1088 1156 1486 2312 2972 4624 5944 9248 11888 12631 18496 23776 25262 47552 50524 101048 202096 214727 404192 429454 552049 808384 858908 1104098 1717816 2208196 3435632 4416392 6871264 8832784 9384833 13742528 17665568 18769666 35331136 37539332 75078664 150157328 159542161 300314656 319084322 600629312 638168644 1276337288 2552674576 5105349152 10210698304