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2050016731152 = 2431323821173981
BaseRepresentation
bin11101110101001110100…
…001001110000000010000
321020222110012011001102020
4131311032201032000100
5232041413240344102
64205433101051440
7301052216463465
oct35651641160020
97228405131366
102050016731152
11720453001235
12291382556b80
1311b414911690
14713154d766c
15384d4079bbc
hex1dd4e84e010

2050016731152 has 160 divisors (see below), whose sum is σ = 5958502131456. Its totient is φ = 602611046400.

The previous prime is 2050016731127. The next prime is 2050016731183. The reversal of 2050016731152 is 2511376100502.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11696002 + ... + 11869982.

Almost surely, 22050016731152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050016731152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979251065728).

2050016731152 is an abundant number, since it is smaller than the sum of its proper divisors (3908485400304).

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

2050016731152 is a wasteful number, since it uses less digits than its factorization.

2050016731152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174849 (or 174843 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 2050016731152 in words is "two trillion, fifty billion, sixteen million, seven hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 821 897 1104 1196 1642 1794 2392 2463 3284 3588 4784 4926 6568 7176 9852 10673 13136 14352 18883 19704 21346 32019 37766 39408 42692 56649 64038 75532 85384 113298 128076 151064 170768 173981 226596 245479 256152 302128 347962 453192 490958 512304 521943 695924 736437 906384 981916 1043886 1391848 1472874 1963832 2087772 2261753 2783696 2945748 3927664 4001563 4175544 4523506 5891496 6785259 8003126 8351088 9047012 11782992 12004689 13570518 16006252 18094024 24009378 27141036 32012504 36188048 48018756 52020319 54282072 64025008 96037512 104040638 108564144 142838401 156060957 192075024 208081276 285676802 312121914 416162552 428515203 571353604 624243828 832325104 857030406 1142707208 1248487656 1714060812 1856899213 2285414416 2496975312 3285283223 3428121624 3713798426 5570697639 6570566446 6856243248 7427596852 9855849669 11141395278 13141132892 14855193704 19711699338 22282790556 26282265784 29710387408 39423398676 42708681899 44565581112 52564531568 78846797352 85417363798 89131162224 128126045697 157693594704 170834727596 256252091394 341669455192 512504182788 683338910384 1025008365576 2050016731152