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210097904676 = 2231137137313997
BaseRepresentation
bin1100001110101011001…
…1111001110000100100
3202002022002021101120220
43003222303321300210
511420240030422201
6240303451124340
721115264503222
oct3035263716044
9662262241526
10210097904676
1181113876470
12348754436b0
1316a733984ba
14a25124bb12
1556e9c21036
hex30eacf9c24

210097904676 has 96 divisors (see below), whose sum is σ = 553259452032. Its totient is φ = 61492976640.

The previous prime is 210097904647. The next prime is 210097904693. The reversal of 210097904676 is 676409790012.

210097904676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2100979046762 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 512110 + ... + 826106.

It is an arithmetic number, because the mean of its divisors is an integer number (5763119292).

Almost surely, 2210097904676 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 210097904676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276629726016).

210097904676 is an abundant number, since it is smaller than the sum of its proper divisors (343161547356).

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

210097904676 is a wasteful number, since it uses less digits than its factorization.

210097904676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314189 (or 314187 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 210097904676 in words is "two hundred ten billion, ninety-seven million, nine hundred four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 137 148 222 274 407 411 444 548 814 822 1221 1507 1628 1644 2442 3014 4521 4884 5069 6028 9042 10138 15207 18084 20276 30414 55759 60828 111518 167277 223036 313997 334554 627994 669108 941991 1255988 1883982 3453967 3767964 6907934 10361901 11617889 13815868 20723802 23235778 34853667 41447604 43017589 46471556 69707334 86035178 127796779 129052767 139414668 172070356 255593558 258105534 383390337 473193479 511187116 516211068 766780674 946386958 1419580437 1533561348 1591650793 1892773916 2839160874 3183301586 4774952379 5678321748 6366603172 9549904758 17508158723 19099809516 35016317446 52524476169 70032634892 105048952338 210097904676