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2097117252 = 2232294779541
BaseRepresentation
bin111110011111111…
…0111100001000100
312102011002121001100
41330333313201010
513243330223002
6544032300100
7102653126316
oct17477674104
95364077040
102097117252
1198684a25a
124a63a1630
1327561b9a9
1415c7397b6
15c419811c
hex7cff7844

2097117252 has 144 divisors (see below), whose sum is σ = 5681894400. Its totient is φ = 651006720.

The previous prime is 2097117221. The next prime is 2097117277. The reversal of 2097117252 is 2527117902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3876102 + ... + 3876642.

It is an arithmetic number, because the mean of its divisors is an integer number (39457600).

Almost surely, 22097117252 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 2097117252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840947200).

2097117252 is an abundant number, since it is smaller than the sum of its proper divisors (3584777148).

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

2097117252 is a wasteful number, since it uses less digits than its factorization.

2097117252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 2097117252 is about 45794.2927885124. The cubic root of 2097117252 is about 1279.9929304623.

The spelling of 2097117252 in words is "two billion, ninety-seven million, one hundred seventeen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 47 58 79 87 94 116 141 158 174 188 237 261 282 316 348 423 474 522 541 564 711 846 948 1044 1082 1363 1422 1623 1692 2164 2291 2726 2844 3246 3713 4089 4582 4869 5452 6492 6873 7426 8178 9164 9738 11139 12267 13746 14852 15689 16356 19476 20619 22278 24534 25427 27492 31378 33417 41238 42739 44556 47067 49068 50854 62756 66834 76281 82476 85478 94134 101708 107677 128217 133668 141201 152562 170956 188268 215354 228843 256434 282402 305124 323031 384651 430708 457686 512868 564804 646062 737383 769302 915372 969093 1239431 1292124 1474766 1538604 1938186 2008733 2212149 2478862 2949532 3718293 3876372 4017466 4424298 4957724 6026199 6636447 7436586 8034932 8848596 11154879 12052398 13272894 14873172 18078597 22309758 24104796 26545788 36157194 44619516 58253257 72314388 116506514 174759771 233013028 349519542 524279313 699039084 1048558626 2097117252