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1054109729280 = 2935137253871
BaseRepresentation
bin11110101011011011101…
…01100000001000000000
310201202211201102110211110
433111231311200020000
5114232304042314110
62124130141443320
7136104551601546
oct17255565401000
93652751373743
101054109729280
11377055509423
12150363270540
137852c5c902a
143903a8d1d96
151c646d08a20
hexf56dd60200

1054109729280 has 80 divisors (see below), whose sum is σ = 3369857065344. Its totient is φ = 281095925760.

The previous prime is 1054109729273. The next prime is 1054109729297. The reversal of 1054109729280 is 829279014501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10541097292802 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68619256 + ... + 68634615.

Almost surely, 21054109729280 is an apocalyptic number.

1054109729280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054109729280 is an abundant number, since it is smaller than the sum of its proper divisors (2315747336064).

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

1054109729280 is an equidigital number, since it uses as much as digits as its factorization.

1054109729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137253897 (or 137253881 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 1054109729280 in words is "one trillion, fifty-four billion, one hundred nine million, seven hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 137253871 274507742 411761613 549015484 686269355 823523226 1098030968 1372538710 1647046452 2058808065 2196061936 2745077420 3294092904 4117616130 4392123872 5490154840 6588185808 8235232260 8784247744 10980309680 13176371616 16470464520 17568495488 21960619360 26352743232 32940929040 35136990976 43921238720 52705486464 65881858080 70273981952 87842477440 105410972928 131763716160 175684954880 210821945856 263527432320 351369909760 527054864640 1054109729280