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161468161400 = 235272131267411
BaseRepresentation
bin1001011001100001000…
…0001001110101111000
3120102202222211110211002
42112120100021311320
510121141322131100
6202102155024132
714444221504100
oct2263020116570
9512688743732
10161468161400
1162529627597
122736343b048
13122c3492090
147b5a8ca200
1543007e82d5
hex2598409d78

161468161400 has 144 divisors (see below), whose sum is σ = 470298570840. Its totient is φ = 51101971200.

The previous prime is 161468161391. The next prime is 161468161417. The reversal of 161468161400 is 4161864161.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 506306 + ... + 761105.

Almost surely, 2161468161400 is an apocalyptic number.

161468161400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161468161400 is an abundant number, since it is smaller than the sum of its proper divisors (308830409440).

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

161468161400 is a wasteful number, since it uses less digits than its factorization.

161468161400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267454 (or 1267438 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 161468161400 in words is "one hundred sixty-one billion, four hundred sixty-eight million, one hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 49 50 52 56 65 70 91 98 100 104 130 140 175 182 196 200 245 260 280 325 350 364 392 455 490 520 637 650 700 728 910 980 1225 1274 1300 1400 1820 1960 2275 2450 2548 2600 3185 3640 4550 4900 5096 6370 9100 9800 12740 15925 18200 25480 31850 63700 127400 1267411 2534822 5069644 6337055 8871877 10139288 12674110 16476343 17743754 25348220 31685275 32952686 35487508 44359385 50696440 62103139 63370550 65905372 70975016 82381715 88718770 115334401 124206278 126741100 131810744 164763430 177437540 221796925 230668802 248412556 253482200 310515695 329526860 354875080 411908575 443593850 461337604 496825112 576672005 621031390 659053720 807340807 823817150 887187700 922675208 1153344010 1242062780 1552578475 1614681614 1647634300 1774375400 2306688020 2484125560 2883360025 3105156950 3229363228 3295268600 4036704035 4613376040 5766720050 6210313900 6458726456 8073408070 11533440100 12420627800 16146816140 20183520175 23066880200 32293632280 40367040350 80734080700 161468161400