Search a number
-
+
1920156410880 = 21032541670061
BaseRepresentation
bin11011111100010010001…
…111011010010000000000
320210120021000001021100200
4123330102033122100000
5222424440020122010
64030035131445200
7255504160123611
oct33742217322000
96716230037320
101920156410880
116803742655a4
122701805b6800
1310c0ba964496
1468d167cbc08
1534e33607cc0
hex1bf123da400

1920156410880 has 132 divisors (see below), whose sum is σ = 6653292119292. Its totient is φ = 512041697280.

The previous prime is 1920156410803. The next prime is 1920156410891. The reversal of 1920156410880 is 880146510291.

It is a happy number.

1920156410880 is a `hidden beast` number, since 1 + 9 + 2 + 0 + 1 + 564 + 1 + 0 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 356896318464 + 1563260092416 = 597408^2 + 1250304^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 20788951 + ... + 20881110.

Almost surely, 21920156410880 is an apocalyptic number.

1920156410880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1920156410880 is an abundant number, since it is smaller than the sum of its proper divisors (4733135708412).

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

1920156410880 is a wasteful number, since it uses less digits than its factorization.

1920156410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41670092 (or 41670071 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 1920156410880 in words is "one trillion, nine hundred twenty billion, one hundred fifty-six million, four hundred ten thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 41670061 83340122 125010183 166680244 208350305 250020366 333360488 375030549 416700610 500040732 625050915 666720976 750061098 833401220 1000081464 1250101830 1333441952 1500122196 1666802440 1875152745 2000162928 2500203660 2666883904 3000244392 3333604880 3750305490 4000325856 5000407320 5333767808 6000488784 6667209760 7500610980 8000651712 10000814640 10667535616 12000977568 13334419520 15001221960 16001303424 20001629280 21335071232 24001955136 26668839040 30002443920 32002606848 40003258560 42670142464 48003910272 53337678080 60004887840 64005213696 80006517120 96007820544 106675356160 120009775680 128010427392 160013034240 192015641088 213350712320 240019551360 320026068480 384031282176 480039102720 640052136960 960078205440 1920156410880