Search a number
-
+
1020071600000 = 27552550179
BaseRepresentation
bin11101101100000010000…
…00010101111110000000
310121111222112200100110122
432312001000111332000
5113203101312200000
62100340414315412
7133461216352205
oct16660100257600
93544875610418
101020071600000
11363678909072
12145843ab8b68
137526675232b
143752c049cac
151b803927085
hexed81015f80

1020071600000 has 96 divisors (see below), whose sum is σ = 2540055785400. Its totient is φ = 408028480000.

The previous prime is 1020071599997. The next prime is 1020071600033. The reversal of 1020071600000 is 61700201.

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 11 ways as a sum of consecutive naturals, for example, 875090 + ... + 1675089.

Almost surely, 21020071600000 is an apocalyptic number.

1020071600000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020071600000 is an abundant number, since it is smaller than the sum of its proper divisors (1519984185400).

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

1020071600000 is an frugal number, since it uses more digits than its factorization.

1020071600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550218 (or 2550186 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The spelling of 1020071600000 in words is "one trillion, twenty billion, seventy-one million, six hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 2550179 5100358 10200716 12750895 20401432 25501790 40802864 51003580 63754475 81605728 102007160 127508950 163211456 204014320 255017900 318772375 326422912 408028640 510035800 637544750 816057280 1020071600 1275089500 1593861875 1632114560 2040143200 2550179000 3187723750 4080286400 5100358000 6375447500 7969309375 8160572800 10200716000 12750895000 15938618750 20401432000 25501790000 31877237500 40802864000 51003580000 63754475000 102007160000 127508950000 204014320000 255017900000 510035800000 1020071600000