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2024035530112 = 271737123720323
BaseRepresentation
bin11101011101000001111…
…010110011010110000000
321011111101111221021211001
4131131001322303112000
5231130211043430422
64145455025501344
7266142326065621
oct35350172632600
97144344837731
102024035530112
11710430321362
122883314a1854
13118b3402083b
146dd6cad7a48
15379b318b227
hex1d741eb3580

2024035530112 has 128 divisors (see below), whose sum is σ = 4388601155040. Its totient is φ = 925949657088.

The previous prime is 2024035530091. The next prime is 2024035530131. The reversal of 2024035530112 is 2110355304202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99583183 + ... + 99603505.

Almost surely, 22024035530112 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 2024035530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194300577520).

2024035530112 is an abundant number, since it is smaller than the sum of its proper divisors (2364565624928).

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

2024035530112 is a wasteful number, since it uses less digits than its factorization.

2024035530112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21628 (or 21616 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 2024035530112 in words is "two trillion, twenty-four billion, thirty-five million, five hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 272 296 544 592 629 1088 1184 1237 1258 2176 2368 2474 2516 4736 4948 5032 9896 10064 19792 20128 20323 21029 39584 40256 40646 42058 45769 79168 80512 81292 84116 91538 158336 162584 168232 183076 325168 336464 345491 366152 650336 672928 690982 732304 751951 778073 1300672 1345856 1381964 1464608 1503902 1556146 2601344 2691712 2763928 2929216 3007804 3112292 5527856 5858432 6015608 6224584 11055712 12031216 12449168 12783167 22111424 24062432 24898336 25139551 25566334 44222848 48124864 49796672 50279102 51132668 96249728 99593344 100558204 102265336 201116408 204530672 402232816 409061344 427372367 804465632 818122688 854744734 930163387 1608931264 1636245376 1709489468 1860326774 3217862528 3418978936 3720653548 6837957872 7441307096 13675915744 14882614192 15812777579 27351831488 29765228384 31625555158 54703662976 59530456768 63251110316 119060913536 126502220632 253004441264 506008882528 1012017765056 2024035530112