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2162628452061 = 3271131820912263
BaseRepresentation
bin11111011110000110101…
…100110101111011011101
321122202010021222012100100
4133132012230311323131
5240413030340431221
64333255305051313
7312146643352560
oct37360654657335
97582107865310
102162628452061
11764190421980
122ab16ba86b39
13128c2022646c
14769594d04d7
153b3c55ba926
hex1f786b35edd

2162628452061 has 96 divisors (see below), whose sum is σ = 4021053603840. Its totient is φ = 1086982156800.

The previous prime is 2162628452011. The next prime is 2162628452107. The reversal of 2162628452061 is 1602548262612.

2162628452061 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 62 + 8 + 4 + 520 + 61 = 666.

It is not a de Polignac number, because 2162628452061 - 214 = 2162628435677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2162628451998 and 2162628452016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162628452011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176347816 + ... + 176360078.

It is an arithmetic number, because the mean of its divisors is an integer number (41885975040).

Almost surely, 22162628452061 is an apocalyptic number.

2162628452061 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2162628452061 is a deficient number, since it is larger than the sum of its proper divisors (1858425151779).

2162628452061 is a wasteful number, since it uses less digits than its factorization.

2162628452061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20527 (or 20524 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

It can be divided in two parts, 2162628 and 452061, that added together give a square (2614689 = 16172).

The spelling of 2162628452061 in words is "two trillion, one hundred sixty-two billion, six hundred twenty-eight million, four hundred fifty-two thousand, sixty-one".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 651 693 1023 1953 2387 3069 7161 8209 12263 21483 24627 36789 57463 73881 85841 90299 110367 134893 172389 254479 257523 270897 380153 404679 517167 632093 763437 772569 812691 944251 1140459 1214037 1781353 1896279 2290311 2661071 2799269 2832753 3421377 4181683 5344059 5688837 7983213 8397807 8498259 12545049 16032177 19594883 23949639 25193421 29271781 37635147 58784649 87815343 100666967 176353947 263446029 302000901 704668769 906002703 1107336637 2114006307 3120675977 3322009911 6342018921 7751356459 9362027931 9966029733 21844731839 23254069377 28086083793 34327435747 65534195517 69762208131 102982307241 196602586551 240292050229 308946921723 720876150687 2162628452061