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2050450445440 = 27543157474571
BaseRepresentation
bin11101110101101000010…
…111101101010010000000
321021000120102021000120101
4131311220113231102000
5232043310303223230
64205544113052144
7301066034133565
oct35655027552200
97230512230511
102050450445440
117206559041a1
12291483857054
1311b483728757
1471356d5686c
153850c19caca
hex1dd685ed480

2050450445440 has 128 divisors (see below), whose sum is σ = 5047813552320. Its totient is φ = 796001955840.

The previous prime is 2050450445429. The next prime is 2050450445447. The reversal of 2050450445440 is 445440540502.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2050450445440.

It is not an unprimeable number, because it can be changed into a prime (2050450445447) 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, 4083355 + ... + 4557925.

Almost surely, 22050450445440 is an apocalyptic number.

2050450445440 is a gapful number since it is divisible by the number (20) 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 2050450445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523906776160).

2050450445440 is an abundant number, since it is smaller than the sum of its proper divisors (2997363106880).

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

2050450445440 is a wasteful number, since it uses less digits than its factorization.

2050450445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474790 (or 474778 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 37.

Adding to 2050450445440 its reverse (445440540502), we get a palindrome (2495890985942).

The spelling of 2050450445440 in words is "two trillion, fifty billion, four hundred fifty million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 157 160 172 215 314 320 344 430 628 640 688 785 860 1256 1376 1570 1720 2512 2752 3140 3440 5024 5504 6280 6751 6880 10048 12560 13502 13760 20096 25120 27004 27520 33755 50240 54008 67510 100480 108016 135020 216032 270040 432064 474571 540080 864128 949142 1080160 1898284 2160320 2372855 3796568 4320640 4745710 7593136 9491420 15186272 18982840 20406553 30372544 37965680 40813106 60745088 74507647 75931360 81626212 102032765 149015294 151862720 163252424 204065530 298030588 303725440 326504848 372538235 408131060 596061176 653009696 745076470 816262120 1192122352 1306019392 1490152940 1632524240 2384244704 2612038784 2980305880 3203828821 3265048480 4768489408 5960611760 6407657642 6530096960 9536978816 11921223520 12815315284 13060193920 16019144105 23842447040 25630630568 32038288210 47684894080 51261261136 64076576420 102522522272 128153152840 205045044544 256306305680 410090089088 512612611360 1025225222720 2050450445440