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2171676619252 = 2273147433122939
BaseRepresentation
bin11111100110100010000…
…000110111000111110100
321200121110212200201022201
4133212202000313013310
5241040043203304002
64341353210434244
7312620112456010
oct37464200670764
97617425621281
102171676619252
117680039218a8
122b0a76132984
13129a3296c84a
1477177083540
153b754b0e087
hex1f9a20371f4

2171676619252 has 96 divisors (see below), whose sum is σ = 4589466255360. Its totient is φ = 879488616960.

The previous prime is 2171676619243. The next prime is 2171676619291. The reversal of 2171676619252 is 2529166761712.

It is a junction number, because it is equal to n+sod(n) for n = 2171676619193 and 2171676619202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17603199 + ... + 17726137.

It is an arithmetic number, because the mean of its divisors is an integer number (47806940160).

Almost surely, 22171676619252 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 2171676619252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294733127680).

2171676619252 is an abundant number, since it is smaller than the sum of its proper divisors (2417789636108).

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

2171676619252 is a wasteful number, since it uses less digits than its factorization.

2171676619252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123461 (or 123459 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 55.

The spelling of 2171676619252 in words is "two trillion, one hundred seventy-one billion, six hundred seventy-six million, six hundred nineteen thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 31 47 62 94 124 188 217 329 433 434 658 866 868 1316 1457 1732 2914 3031 5828 6062 10199 12124 13423 20351 20398 26846 40702 40796 53692 81404 93961 122939 142457 187922 245878 284914 375844 491756 569828 630881 860573 1261762 1721146 2523524 3442292 3811109 4416167 5778133 7622218 8832334 11556266 15244436 17664668 23112532 26677763 40446931 53232587 53355526 80893862 106465174 106711052 161787724 179122123 212930348 358244246 372628109 716488492 745256218 1253854861 1490512436 1650210197 2501931589 2507709722 3300420394 5003863178 5015419444 6600840788 10007726356 11551471379 17513521123 23102942758 35027042246 46205885516 70054084492 77559879259 155119758518 310239517036 542919154813 1085838309626 2171676619252