Search a number
-
+
1554055511100 = 2235237836916729
BaseRepresentation
bin10110100111010100111…
…011010011110000111100
312111120021210121121201020
4112213110323103300330
5200430201202323400
63145531230544140
7220163641614561
oct26472473236074
95446253547636
101554055511100
1154a086904a04
1221122a068050
13b3715442731
1455306840868
152a657ccc2a0
hex169d4ed3c3c

1554055511100 has 144 divisors (see below), whose sum is σ = 4618752818400. Its totient is φ = 403142123520.

The previous prime is 1554055511093. The next prime is 1554055511111. The reversal of 1554055511100 is 11155504551.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92887536 + ... + 92904264.

It is an arithmetic number, because the mean of its divisors is an integer number (32074672350).

Almost surely, 21554055511100 is an apocalyptic number.

1554055511100 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 1554055511100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309376409200).

1554055511100 is an abundant number, since it is smaller than the sum of its proper divisors (3064697307300).

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

1554055511100 is a wasteful number, since it uses less digits than its factorization.

1554055511100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25152 (or 25145 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 33.

The spelling of 1554055511100 in words is "one trillion, five hundred fifty-four billion, fifty-five million, five hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 8369 11100 16729 16738 25107 33458 33476 41845 50187 50214 66916 83645 83690 100374 100428 125535 167290 167380 200748 209225 250935 251070 309653 334580 418225 418450 501870 502140 618973 619306 627675 836450 836900 928959 1003740 1237946 1238612 1254675 1255350 1548265 1672900 1856919 1857918 2475892 2509350 2510700 3094865 3096530 3713838 3715836 4644795 5018700 6189730 6193060 7427676 7741325 9284595 9289590 12379460 15474325 15482650 18569190 18579180 23223975 30948650 30965300 37138380 46422975 46447950 61897300 92845950 92895900 140005001 185691900 280010002 420015003 560020004 700025005 840030006 1400050010 1680060012 2100075015 2800100020 3500125025 4200150030 5180185037 7000250050 8400300060 10360370074 10500375075 14000500100 15540555111 20720740148 21000750150 25900925185 31081110222 42001500300 51801850370 62162220444 77702775555 103603700740 129504625925 155405551110 259009251850 310811102220 388513877775 518018503700 777027755550 1554055511100