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32055938231680 = 2751124551185467
BaseRepresentation
bin1110100100111100110101…
…10011111010110110000000
311012111111222110012012112201
413102132122303322312000
513200201030141403210
6152102143354402544
76515652014124646
oct722363263726600
9135444873165481
1032055938231680
11a239935487280
1237187a4a30454
1314b6b28a9329c
147cb73109b196
153a8cadb3253a
hex1d279acfad80

32055938231680 has 128 divisors (see below), whose sum is σ = 83604285768960. Its totient is φ = 11656167168000.

The previous prime is 32055938231663. The next prime is 32055938231683. The reversal of 32055938231680 is 8613283955023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32055938231683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172746307 + ... + 172931773.

It is an arithmetic number, because the mean of its divisors is an integer number (653158482570).

Almost surely, 232055938231680 is an apocalyptic number.

It is an amenable number.

32055938231680 is an abundant number, since it is smaller than the sum of its proper divisors (51548347537280).

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

32055938231680 is a wasteful number, since it uses less digits than its factorization.

32055938231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210048 (or 210036 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 32055938231680 in words is "thirty-two trillion, fifty-five billion, nine hundred thirty-eight million, two hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 24551 49102 98204 122755 185467 196408 245510 270061 370934 392816 491020 540122 741868 785632 927335 982040 1080244 1350305 1483736 1571264 1854670 1964080 2040137 2160488 2700610 2967472 3142528 3709340 3928160 4080274 4320976 5401220 5934944 7418680 7856320 8160548 8641952 10200685 10802440 11869888 14837360 15712640 16321096 17283904 20401370 21604880 23739776 29674720 32642192 34567808 40802740 43209760 59349440 65284384 81605480 86419520 118698880 130568768 163210960 172839040 261137536 326421920 652843840 1305687680 4553400317 9106800634 18213601268 22767001585 36427202536 45534003170 50087403487 72854405072 91068006340 100174806974 145708810144 182136012680 200349613948 250437017435 291417620288 364272025360 400699227896 500874034870 582835240576 728544050720 801398455792 1001748069740 1457088101440 1602796911584 2003496139480 2914176202880 3205593823168 4006992278960 6411187646336 8013984557920 16027969115840 32055938231680