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161349628000 = 2553112333367
BaseRepresentation
bin1001011001000100101…
…1111111000001100000
3120102110201210100120011
42112101023333001200
510120421001044000
6202042322254304
714441252131501
oct2262113770140
9512421710504
10161349628000
1162478727700
122732b7b7394
13122a4a5c882
147b48c72ba8
1542e51d22ba
hex25912ff060

161349628000 has 144 divisors (see below), whose sum is σ = 435753313632. Its totient is φ = 58672416000.

The previous prime is 161349627983. The next prime is 161349628003. The reversal of 161349628000 is 826943161.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161349628003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317317 + ... + 650683.

It is an arithmetic number, because the mean of its divisors is an integer number (3026064678).

Almost surely, 2161349628000 is an apocalyptic number.

161349628000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161349628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217876656816).

161349628000 is an abundant number, since it is smaller than the sum of its proper divisors (274403685632).

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

161349628000 is a wasteful number, since it uses less digits than its factorization.

161349628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333414 (or 333385 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 161349628000 in words is "one hundred sixty-one billion, three hundred forty-nine million, six hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1100 1210 1375 1760 1936 2000 2200 2420 2750 3025 3872 4000 4400 4840 5500 6050 8800 9680 11000 12100 15125 19360 22000 24200 30250 44000 48400 60500 96800 121000 242000 333367 484000 666734 1333468 1666835 2666936 3333670 3667037 5333872 6667340 7334074 8334175 10667744 13334680 14668148 16668350 18335185 26669360 29336296 33336700 36670370 40337407 41670875 53338720 58672592 66673400 73340740 80674814 83341750 91675925 117345184 133346800 146681480 161349628 166683500 183351850 201687035 266693600 293362960 322699256 333367000 366703700 403374070 458379625 586725920 645398512 666734000 733407400 806748140 916759250 1008435175 1290797024 1333468000 1466814800 1613496280 1833518500 2016870350 2933629600 3226992560 3667037000 4033740700 5042175875 6453985120 7334074000 8067481400 10084351750 14668148000 16134962800 20168703500 32269925600 40337407000 80674814000 161349628000