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6561226660188 = 22323243121719751
BaseRepresentation
bin101111101111010011110…
…0101011001100101011100
3212020020200011111212022210
41133132213211121211130
51324444343011111223
621542104054040420
71245014212262154
oct137364745314534
925206604455283
106561226660188
1120aa667442962
1289b739649110
1338794b104c85
141897ca775764
15b5a14d73893
hex5f7a795995c

6561226660188 has 144 divisors (see below), whose sum is σ = 16390575565056. Its totient is φ = 2041552128000.

The previous prime is 6561226660187. The next prime is 6561226660193. The reversal of 6561226660188 is 8810666221656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6561226660187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332187313 + ... + 332207063.

It is an arithmetic number, because the mean of its divisors is an integer number (113823441424).

Almost surely, 26561226660188 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 6561226660188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195287782528).

6561226660188 is an abundant number, since it is smaller than the sum of its proper divisors (9829348904868).

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

6561226660188 is a wasteful number, since it uses less digits than its factorization.

6561226660188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21064 (or 21039 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 6561226660188 in words is "six trillion, five hundred sixty-one billion, two hundred twenty-six million, six hundred sixty thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 529 989 1058 1217 1587 1978 2116 2434 2967 3174 3651 3956 4868 5934 6348 7302 11868 14604 19751 22747 27991 39502 45494 52331 55982 59253 68241 79004 83973 90988 104662 111964 118506 136482 156993 167946 209324 237012 272964 313986 335892 454273 627972 643793 849293 908546 1203613 1287586 1362819 1698586 1817092 1931379 2407226 2547879 2575172 2725638 3397172 3610839 3862758 4814452 5095758 5451276 7221678 7725516 10191516 10448279 14443356 19533739 20896558 24036967 27683099 31344837 39067478 41793116 48073934 55366198 58601217 62689674 72110901 78134956 83049297 96147868 110732396 117202434 125379348 144221802 166098594 234404868 288443604 332197188 449275997 552850241 898551994 1033589581 1105700482 1347827991 1658550723 1797103988 2067179162 2211400964 2695655982 3100768743 3317101446 4134358324 5391311964 6201537486 6634202892 12403074972 12715555543 23772560363 25431111086 38146666629 47545120726 50862222172 71317681089 76293333258 95090241452 142635362178 152586666516 285270724356 546768888349 1093537776698 1640306665047 2187075553396 3280613330094 6561226660188