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5556437406 = 2331319619673
BaseRepresentation
bin1010010110011000…
…01000000110011110
3112100020102021012000
411023030020012132
542334421444111
62315205423130
7254456636652
oct51314100636
915306367160
105556437406
1123a1511733
1210b0a0aaa6
136a72141b0
143a9d48a62
15227c1bc56
hex14b30819e

5556437406 has 128 divisors (see below), whose sum is σ = 14040768000. Its totient is φ = 1614670848.

The previous prime is 5556437401. The next prime is 5556437441. The reversal of 5556437406 is 6047346555.

5556437406 is a `hidden beast` number, since 55 + 564 + 37 + 4 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5556437401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8255886 + ... + 8256558.

It is an arithmetic number, because the mean of its divisors is an integer number (109693500).

Almost surely, 25556437406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5556437406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020384000).

5556437406 is an abundant number, since it is smaller than the sum of its proper divisors (8484330594).

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

5556437406 is a wasteful number, since it uses less digits than its factorization.

5556437406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The square root of 5556437406 is about 74541.5146478793. The cubic root of 5556437406 is about 1771.1913209396.

The spelling of 5556437406 in words is "five billion, five hundred fifty-six million, four hundred thirty-seven thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 619 673 702 741 1026 1238 1346 1482 1857 2019 2223 3714 4038 4446 5571 6057 6669 8047 8749 11142 11761 12114 12787 13338 16094 16713 17498 18171 23522 24141 25574 26247 33426 35283 36342 38361 48282 52494 70566 72423 76722 78741 105849 115083 144846 152893 157482 166231 211698 217269 230166 236223 305786 317547 332462 345249 416587 434538 458679 472446 498693 635094 690498 833174 917358 997386 1249761 1376037 1496079 2499522 2752074 2992158 3749283 4128111 4488237 5415631 7498566 7915153 8256222 8976474 10831262 11247849 15830306 16246893 22495698 23745459 32493786 47490918 48740679 71236377 97481358 102896989 142472754 146222037 205793978 213709131 292444074 308690967 427418262 617381934 926072901 1852145802 2778218703 5556437406