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125555051640 = 233534714272113
BaseRepresentation
bin111010011101110101…
…0100000110001111000
3110000002010222110202210
41310323222200301320
54024114043123030
6133402412255120
712033241221144
oct1647352406170
9400063873683
10125555051640
114927a60a697
12204001714a0
13babc034885
146111010224
1533ec9ebbb0
hex1d3baa0c78

125555051640 has 128 divisors (see below), whose sum is σ = 378194261760. Its totient is φ = 33345675264.

The previous prime is 125555051617. The next prime is 125555051669. The reversal of 125555051640 is 46150555521.

It is a congruent number.

It is an unprimeable number.

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, 59419224 + ... + 59421336.

It is an arithmetic number, because the mean of its divisors is an integer number (2954642670).

Almost surely, 2125555051640 is an apocalyptic number.

125555051640 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 125555051640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189097130880).

125555051640 is an abundant number, since it is smaller than the sum of its proper divisors (252639210120).

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

125555051640 is a wasteful number, since it uses less digits than its factorization.

125555051640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 39.

The spelling of 125555051640 in words is "one hundred twenty-five billion, five hundred fifty-five million, fifty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 1041 1388 1427 1735 2082 2113 2776 2854 3470 4164 4226 4281 5205 5708 6339 6940 7135 8328 8452 8562 10410 10565 11416 12678 13880 14270 16904 17124 20820 21130 21405 25356 28540 31695 34248 41640 42260 42810 50712 57080 63390 84520 85620 126780 171240 253560 495169 733211 990338 1466422 1485507 1980676 2199633 2475845 2932844 2971014 3015251 3666055 3961352 4399266 4951690 5865688 5942028 6030502 7332110 7427535 8798532 9045753 9903380 10998165 11884056 12061004 14664220 14855070 15076255 17597064 18091506 19806760 21996330 24122008 29328440 29710140 30152510 36183012 43992660 45228765 59420280 60305020 72366024 87985320 90457530 120610040 180915060 361830120 1046292097 2092584194 3138876291 4185168388 5231460485 6277752582 8370336776 10462920970 12555505164 15694381455 20925841940 25111010328 31388762910 41851683880 62777525820 125555051640