Search a number
-
+
1655661201500 = 225361313074133
BaseRepresentation
bin11000000101111101000…
…110010000100001011100
312212021112212122111002202
4120011331012100201130
5204111243231422000
63304333353311032
7230421554003315
oct30057506204134
95767485574082
101655661201500
11589186648a69
12228a65705478
13c01887cb027
145a1c4c3760c
152d102e8bdd5
hex1817d19085c

1655661201500 has 96 divisors (see below), whose sum is σ = 3625510988736. Its totient is φ = 660518380800.

The previous prime is 1655661201487. The next prime is 1655661201529. The reversal of 1655661201500 is 51021665561.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 400593434 + ... + 400597566.

It is an arithmetic number, because the mean of its divisors is an integer number (37765739466).

Almost surely, 21655661201500 is an apocalyptic number.

1655661201500 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 1655661201500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812755494368).

1655661201500 is an abundant number, since it is smaller than the sum of its proper divisors (1969849787236).

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

1655661201500 is a wasteful number, since it uses less digits than its factorization.

1655661201500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 38.

The spelling of 1655661201500 in words is "one trillion, six hundred fifty-five billion, six hundred sixty-one million, two hundred one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 613 1226 1307 2452 2614 3065 4133 5228 6130 6535 8266 12260 13070 15325 16532 20665 26140 30650 32675 41330 61300 65350 76625 82660 103325 130700 153250 163375 206650 306500 326750 413300 516625 653500 801191 1033250 1602382 2066500 2533529 3204764 4005955 5067058 5401831 8011910 10134116 10803662 12667645 16023820 20029775 21607324 25335290 27009155 40059550 50670580 54018310 63338225 80119100 100148875 108036620 126676450 135045775 200297750 253352900 270091550 316691125 400595500 540183100 633382250 675228875 1266764500 1350457750 2700915500 3311322403 6622644806 13245289612 16556612015 33113224030 66226448060 82783060075 165566120150 331132240300 413915300375 827830600750 1655661201500