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2072170106964 = 2232531886957557
BaseRepresentation
bin11110001001110110111…
…101101001000001010100
321100002122002122010221200
4132021312331221001110
5232422301021410324
64223535232512500
7302465210202126
oct36116675510124
97302562563850
102072170106964
11729891005391
122957256ab730
13120535474c89
14724177a1216
1538d7dda2ec9
hex1e276f69054

2072170106964 has 72 divisors (see below), whose sum is σ = 5337191026440. Its totient is φ = 677643163392.

The previous prime is 2072170106959. The next prime is 2072170107041. The reversal of 2072170106964 is 4696010712702.

It can be written as a sum of positive squares in 4 ways, for example, as 713332268100 + 1358837838864 = 844590^2 + 1165692^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35973274 + ... + 36030830.

It is an arithmetic number, because the mean of its divisors is an integer number (74127653145).

Almost surely, 22072170106964 is an apocalyptic number.

It is an amenable number.

2072170106964 is an abundant number, since it is smaller than the sum of its proper divisors (3265020919476).

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

2072170106964 is a wasteful number, since it uses less digits than its factorization.

2072170106964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76489 (or 76484 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 2072170106964 in words is "two trillion, seventy-two billion, one hundred seventy million, one hundred six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 18869 37738 56607 57557 75476 113214 115114 169821 172671 226428 230228 339642 345342 518013 679284 690684 1000057 1036026 2000114 2072052 3000171 3050521 4000228 6000342 6101042 9000513 9151563 12000684 12202084 18001026 18303126 27454689 36002052 36606252 54909378 109818756 1086043033 2172086066 3258129099 4344172132 6516258198 9774387297 13032516396 19548774594 39097549188 57560280749 115120561498 172680842247 230241122996 345361684494 518042526741 690723368988 1036085053482 2072170106964