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1053347097400 = 235213601674099
BaseRepresentation
bin11110101010000000110…
…00010010101100111000
310201200212120101202120021
433111000120102230320
5114224223324104100
62123522335540224
7136046631412153
oct17250030225470
93650776352507
101053347097400
113767a3a80844
1215018b98a674
137843a5caa70
1438da74d2c9a
151c5eedb3a1a
hexf540612b38

1053347097400 has 96 divisors (see below), whose sum is σ = 2641811382000. Its totient is φ = 388280448000.

The previous prime is 1053347097373. The next prime is 1053347097403. The reversal of 1053347097400 is 47907433501.

It is a super-2 number, since 2×10533470974002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053347097403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1225551 + ... + 1899649.

Almost surely, 21053347097400 is an apocalyptic number.

1053347097400 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 1053347097400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320905691000).

1053347097400 is an abundant number, since it is smaller than the sum of its proper divisors (1588464284600).

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

1053347097400 is a wasteful number, since it uses less digits than its factorization.

1053347097400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674729 (or 674720 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 1053347097400 in words is "one trillion, fifty-three billion, three hundred forty-seven million, ninety-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 601 650 1202 1300 2404 2600 3005 4808 6010 7813 12020 15025 15626 24040 30050 31252 39065 60100 62504 78130 120200 156260 195325 312520 390650 674099 781300 1348198 1562600 2696396 3370495 5392792 6740990 8763287 13481980 16852475 17526574 26963960 33704950 35053148 43816435 67409900 70106296 87632870 134819800 175265740 219082175 350531480 405133499 438164350 810266998 876328700 1620533996 1752657400 2025667495 3241067992 4051334990 5266735487 8102669980 10128337475 10533470974 16205339960 20256674950 21066941948 26333677435 40513349900 42133883896 52667354870 81026699800 105334709740 131668387175 210669419480 263336774350 526673548700 1053347097400