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326854487680 = 2757233313127
BaseRepresentation
bin1001100000110100000…
…10111010111010000000
31011020200001101100101221
410300122002322322000
520323344222101210
6410053242004424
732420521206340
oct4603202727200
91136601340357
10326854487680
11116688923376
125341aaa6714
1324a8c6220c6
1411b69906d20
15878009e1da
hex4c1a0bae80

326854487680 has 128 divisors (see below), whose sum is σ = 896848692480. Its totient is φ = 111583076352.

The previous prime is 326854487677. The next prime is 326854487753. The reversal of 326854487680 is 86784458623.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3268544876802 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887277 + ... + 1200403.

It is an arithmetic number, because the mean of its divisors is an integer number (7006630410).

Almost surely, 2326854487680 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 326854487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448424346240).

326854487680 is an abundant number, since it is smaller than the sum of its proper divisors (569994204800).

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

326854487680 is a wasteful number, since it uses less digits than its factorization.

326854487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313386 (or 313374 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 61.

It can be divided in two parts, 3268544 and 87680, that added together give a square (3356224 = 18322).

The spelling of 326854487680 in words is "three hundred twenty-six billion, eight hundred fifty-four million, four hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 233 280 320 448 466 560 640 896 932 1120 1165 1631 1864 2240 2330 3262 3728 4480 4660 6524 7456 8155 9320 13048 14912 16310 18640 26096 29824 32620 37280 52192 65240 74560 104384 130480 149120 208768 260960 313127 521920 626254 1043840 1252508 1565635 2191889 2505016 3131270 4383778 5010032 6262540 8767556 10020064 10959445 12525080 17535112 20040128 21918890 25050160 35070224 40080256 43837780 50100320 70140448 72958591 87675560 100200640 140280896 145917182 175351120 200401280 280561792 291834364 350702240 364792955 510710137 583668728 701404480 729585910 1021420274 1167337456 1402808960 1459171820 2042840548 2334674912 2553550685 2918343640 4085681096 4669349824 5107101370 5836687280 8171362192 9338699648 10214202740 11673374560 16342724384 20428405480 23346749120 32685448768 40856810960 46693498240 65370897536 81713621920 163427243840 326854487680