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5665501556004 = 22317157886119963
BaseRepresentation
bin101001001110001101000…
…1101010010110100100100
3202001121122112200222201010
41102130122031102310210
51220310421344243004
620014410120302220
71123214260436553
oct122343215226444
922047575628633
105665501556004
1118947a8a24614
12776019011970
133213401b8924
141582d701dd9a
159c58ccbca89
hex5271a352d24

5665501556004 has 96 divisors (see below), whose sum is σ = 14088570523776. Its totient is φ = 1765803386880.

The previous prime is 5665501556003. The next prime is 5665501556023. The reversal of 5665501556004 is 4006551055665.

It is not an unprimeable number, because it can be changed into a prime (5665501556003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283790127 + ... + 283810089.

It is an arithmetic number, because the mean of its divisors is an integer number (146755942956).

Almost surely, 25665501556004 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 5665501556004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044285261888).

5665501556004 is an abundant number, since it is smaller than the sum of its proper divisors (8423068967772).

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

5665501556004 is a wasteful number, since it uses less digits than its factorization.

5665501556004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29005 (or 29003 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 48.

The spelling of 5665501556004 in words is "five trillion, six hundred sixty-five billion, five hundred one million, five hundred fifty-six thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 157 204 314 471 628 942 1884 2669 5338 8007 8861 10676 16014 17722 19963 26583 32028 35444 39926 53166 59889 79852 106332 119778 150637 239556 301274 339371 451911 602548 678742 903822 1018113 1357484 1391177 1807644 2036226 2782354 3134191 4072452 4173531 5564708 6268382 8347062 9402573 12536764 16694124 18805146 23650009 37610292 47300018 53281247 70950027 94600036 106562494 141900054 159843741 176892143 213124988 283800108 319687482 353784286 530676429 639374964 707568572 1061352858 2122705716 3007166431 6014332862 9021499293 12028665724 18042998586 27772066451 36085997172 55544132902 83316199353 111088265804 166632398706 333264797412 472125129667 944250259334 1416375389001 1888500518668 2832750778002 5665501556004