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2097457152 = 2113726967
BaseRepresentation
bin111110100000100…
…1010100000000000
312102011201212022020
41331001022200000
513243422112102
6544043441440
7102656043300
oct17501124000
95364655266
102097457152
11986a6166a
124a6526280
1327570a60b
1415c7c7600
15c4213bbc
hex7d04a800

2097457152 has 144 divisors (see below), whose sum is σ = 6505742880. Its totient is φ = 599187456.

The previous prime is 2097457129. The next prime is 2097457157. The reversal of 2097457152 is 2517547902.

It is a super-2 number, since 2×20974571522 = 8798653008951902208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2097457157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297573 + ... + 304539.

It is an arithmetic number, because the mean of its divisors is an integer number (45178770).

Almost surely, 22097457152 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 2097457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252871440).

2097457152 is an abundant number, since it is smaller than the sum of its proper divisors (4408285728).

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

2097457152 is an equidigital number, since it uses as much as digits as its factorization.

2097457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7006 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 2097457152 is about 45798.0037992924. The cubic root of 2097457152 is about 1280.0620803224.

The spelling of 2097457152 in words is "two billion, ninety-seven million, four hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4704 5376 6144 6272 6967 7168 9408 10752 12544 13934 14336 18816 20901 21504 25088 27868 37632 41802 43008 48769 50176 55736 75264 83604 97538 100352 111472 146307 150528 167208 195076 222944 292614 301056 334416 341383 390152 445888 585228 668832 682766 780304 891776 1024149 1170456 1337664 1365532 1560608 1783552 2048298 2340912 2675328 2731064 3121216 3567104 4096596 4681824 5350656 5462128 6242432 7134208 8193192 9363648 10701312 10924256 12484864 14268416 16386384 18727296 21402624 21848512 24969728 32772768 37454592 42805248 43697024 49939456 65545536 74909184 87394048 99878912 131091072 149818368 174788096 262182144 299636736 349576192 524364288 699152384 1048728576 2097457152