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1973353005500 = 2253191359715277
BaseRepresentation
bin11100101101110101000…
…000010100000110111100
320222122120100211021102212
4130231311000110012330
5224312411332134000
64110313523235552
7262366345534322
oct34556500240674
96878510737385
101973353005500
116a0992365488
1227a547b18bb8
13114117a4c9c6
146b72189bd12
15364e8926c35
hex1cb750141bc

1973353005500 has 96 divisors (see below), whose sum is σ = 4537265328960. Its totient is φ = 747692985600.

The previous prime is 1973353005497. The next prime is 1973353005509. The reversal of 1973353005500 is 55003533791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973353005509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129163862 + ... + 129179138.

It is an arithmetic number, because the mean of its divisors is an integer number (47263180510).

Almost surely, 21973353005500 is an apocalyptic number.

1973353005500 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 1973353005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268632664480).

1973353005500 is an abundant number, since it is smaller than the sum of its proper divisors (2563912323460).

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

1973353005500 is a wasteful number, since it uses less digits than its factorization.

1973353005500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28912 (or 28900 counting only the distinct ones).

The product of its (nonzero) digits is 212625, while the sum is 41.

The spelling of 1973353005500 in words is "one trillion, nine hundred seventy-three billion, three hundred fifty-three million, five thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 475 500 950 1900 2375 4750 9500 13597 15277 27194 30554 54388 61108 67985 76385 135970 152770 258343 271940 290263 305540 339925 381925 516686 580526 679850 763850 1033372 1161052 1291715 1359700 1451315 1527700 1699625 1909625 2583430 2902630 3399250 3819250 5166860 5805260 6458575 6798500 7256575 7638500 12917150 14513150 25834300 29026300 32292875 36282875 64585750 72565750 129171500 145131500 207721369 415442738 830885476 1038606845 2077213690 3946706011 4154427380 5193034225 7893412022 10386068450 15786824044 19733530055 20772136900 25965171125 39467060110 51930342250 78934120220 98667650275 103860684500 197335300550 394670601100 493338251375 986676502750 1973353005500