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2126878428000 = 25353177239869
BaseRepresentation
bin11110111100110011110…
…101010100101101100000
321112022211210222210211010
4132330303311110231200
5234321321334144000
64305024030020520
7306443013230304
oct36746365245540
97468753883733
102126878428000
11750005474747
122a4253347740
131257437ca081
1474d27547d04
153a4d1c85d50
hex1ef33d54b60

2126878428000 has 96 divisors (see below), whose sum is σ = 6967653769440. Its totient is φ = 567167577600.

The previous prime is 2126878427981. The next prime is 2126878428011. The reversal of 2126878428000 is 8248786212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21268784280002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 88607935 + ... + 88631934.

It is an arithmetic number, because the mean of its divisors is an integer number (72579726765).

Almost surely, 22126878428000 is an apocalyptic number.

2126878428000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2126878428000 is an abundant number, since it is smaller than the sum of its proper divisors (4840775341440).

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

2126878428000 is a wasteful number, since it uses less digits than its factorization.

2126878428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177239897 (or 177239879 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 2126878428000 in words is "two trillion, one hundred twenty-six billion, eight hundred seventy-eight million, four hundred twenty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 177239869 354479738 531719607 708959476 886199345 1063439214 1417918952 1772398690 2126878428 2658598035 2835837904 3544797380 4253756856 4430996725 5317196070 5671675808 7089594760 8507513712 8861993450 10634392140 13292990175 14179189520 17015027424 17723986900 21268784280 22154983625 26585980350 28358379040 35447973800 42537568560 44309967250 53171960700 66464950875 70895947600 85075137120 88619934500 106343921400 132929901750 141791895200 177239869000 212687842800 265859803500 354479738000 425375685600 531719607000 708959476000 1063439214000 2126878428000