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2001911988224 = 2144117916649
BaseRepresentation
bin11101001000011011010…
…000001100000000000000
321002101021200120220201202
4131020123100030000000
5230244403432110344
64131355441320332
7264430150064531
oct35103320140000
97071250526652
102001911988224
11702008144945
12283b983360a8
13116a19704755
146cc70798688
153711aca794e
hex1d21b40c000

2001911988224 has 120 divisors (see below), whose sum is σ = 4124513358000. Its totient is φ = 971028561920.

The previous prime is 2001911988221. The next prime is 2001911988233. The reversal of 2001911988224 is 4228891191002.

It is not an unprimeable number, because it can be changed into a prime (2001911988221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120233852 + ... + 120250500.

It is an arithmetic number, because the mean of its divisors is an integer number (34370944650).

Almost surely, 22001911988224 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 2001911988224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062256679000).

2001911988224 is an abundant number, since it is smaller than the sum of its proper divisors (2122601369776).

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

2001911988224 is an equidigital number, since it uses as much as digits as its factorization.

2001911988224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16897 (or 16871 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 47.

The spelling of 2001911988224 in words is "two trillion, one billion, nine hundred eleven million, nine hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 179 256 328 358 512 656 716 1024 1312 1432 2048 2624 2864 4096 5248 5728 7339 8192 10496 11456 14678 16384 16649 20992 22912 29356 33298 41984 45824 58712 66596 83968 91648 117424 133192 167936 183296 234848 266384 335872 366592 469696 532768 671744 682609 733184 939392 1065536 1365218 1466368 1878784 2131072 2730436 2932736 2980171 3757568 4262144 5460872 5960342 7515136 8524288 10921744 11920684 15030272 17048576 21843488 23841368 30060544 34097152 43686976 47682736 60121088 68194304 87373952 95365472 120242176 122187011 136388608 174747904 190730944 244374022 272777216 349495808 381461888 488748044 698991616 762923776 977496088 1397983232 1525847552 1954992176 2795966464 3051695104 3909984352 5591932928 6103390208 7819968704 11183865856 12206780416 15639937408 24413560832 31279874816 48827121664 62559749632 125119499264 250238998528 500477997056 1000955994112 2001911988224