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2133406153032 = 23371110911058149
BaseRepresentation
bin11111000010111000111…
…010100111100101001000
321112221200202001121010220
4133002320322213211020
5234423203433344112
64312023453510040
7310063536044520
oct37027072474510
97487622047126
102133406153032
11752855179120
122a55754a2320
1312624400756b
1475386488680
153a764db198c
hex1f0b8ea7948

2133406153032 has 128 divisors (see below), whose sum is σ = 6655678848000. Its totient is φ = 553623033600.

The previous prime is 2133406153007. The next prime is 2133406153051. The reversal of 2133406153032 is 2303516043312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2133406152984 and 2133406153002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1487094 + ... + 2545242.

It is an arithmetic number, because the mean of its divisors is an integer number (51997491000).

Almost surely, 22133406153032 is an apocalyptic number.

2133406153032 is a gapful number since it is divisible by the number (22) 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 2133406153032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327839424000).

2133406153032 is an abundant number, since it is smaller than the sum of its proper divisors (4522272694968).

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

2133406153032 is a wasteful number, since it uses less digits than its factorization.

2133406153032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059267 (or 1059263 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 2133406153032 in words is "two trillion, one hundred thirty-three billion, four hundred six million, one hundred fifty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1091 1848 2182 3273 4364 6546 7637 8728 12001 13092 15274 22911 24002 26184 30548 36003 45822 48004 61096 72006 84007 91644 96008 144012 168014 183288 252021 288024 336028 504042 672056 1008084 1058149 2016168 2116298 3174447 4232596 6348894 7407043 8465192 11639639 12697788 14814086 22221129 23279278 25395576 29628172 34918917 44442258 46558556 59256344 69837834 81477473 88884516 93117112 139675668 162954946 177769032 244432419 279351336 325909892 488864838 651819784 977729676 1154440559 1955459352 2308881118 3463321677 4617762236 6926643354 8081083913 9235524472 12698846149 13853286708 16162167826 24243251739 25397692298 27706573416 32324335652 38096538447 48486503478 50795384596 64648671304 76193076894 88891923043 96973006956 101590769192 152386153788 177783846086 193946013912 266675769129 304772307576 355567692172 533351538258 711135384344 1066703076516 2133406153032