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1055214553400 = 235271307576683
BaseRepresentation
bin11110101101011111011…
…00000100100100111000
310201212200201100100121022
433112233230010210320
5114242034411202100
62124431530002012
7136144125466250
oct17265754044470
93655621310538
101055214553400
11377572119107
12150611276308
1378677478707
1439103528960
151c6adce3e85
hexf5afb04938

1055214553400 has 96 divisors (see below), whose sum is σ = 2806005939840. Its totient is φ = 361510412160.

The previous prime is 1055214553399. The next prime is 1055214553487. The reversal of 1055214553400 is 43554125501.

It is a super-2 number, since 2×10552145534002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1541459 + ... + 2118141.

It is an arithmetic number, because the mean of its divisors is an integer number (29229228540).

Almost surely, 21055214553400 is an apocalyptic number.

1055214553400 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 1055214553400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403002969920).

1055214553400 is an abundant number, since it is smaller than the sum of its proper divisors (1750791386440).

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

1055214553400 is a wasteful number, since it uses less digits than its factorization.

1055214553400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578013 (or 578004 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 1055214553400 its reverse (43554125501), we get a palindrome (1098768678901).

The spelling of 1055214553400 in words is "one trillion, fifty-five billion, two hundred fourteen million, five hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1307 1400 2614 5228 6535 9149 10456 13070 18298 26140 32675 36596 45745 52280 65350 73192 91490 130700 182980 228725 261400 365960 457450 576683 914900 1153366 1829800 2306732 2883415 4036781 4613464 5766830 8073562 11533660 14417075 16147124 20183905 23067320 28834150 32294248 40367810 57668300 80735620 100919525 115336600 161471240 201839050 403678100 753724681 807356200 1507449362 3014898724 3768623405 5276072767 6029797448 7537246810 10552145534 15074493620 18843117025 21104291068 26380363835 30148987240 37686234050 42208582136 52760727670 75372468100 105521455340 131901819175 150744936200 211042910680 263803638350 527607276700 1055214553400