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5610404364408 = 2332192541739847
BaseRepresentation
bin101000110100100011000…
…1010001100000001111000
3201212100102201121122201100
41101221012022030001320
51213410102004130113
615533214552251400
71116224023152114
oct121510612140170
921770381548640
105610404364408
1118733a5001028
127674010a0b60
1331909c41abcc
1415578b76c744
159ae15bc3d73
hex51a4628c078

5610404364408 has 144 divisors (see below), whose sum is σ = 16040027792880. Its totient is φ = 1771335122688.

The previous prime is 5610404364401. The next prime is 5610404364437. The reversal of 5610404364408 is 8044634040165.

5610404364408 is a `hidden beast` number, since 561 + 0 + 4 + 0 + 43 + 6 + 4 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5610404364401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140778741 + ... + 140818587.

It is an arithmetic number, because the mean of its divisors is an integer number (111389081895).

Almost surely, 25610404364408 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 5610404364408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020013896440).

5610404364408 is an abundant number, since it is smaller than the sum of its proper divisors (10429623428472).

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

5610404364408 is a wasteful number, since it uses less digits than its factorization.

5610404364408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45314 (or 45288 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 5610404364408 in words is "five trillion, six hundred ten billion, four hundred four million, three hundred sixty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 4332 5417 6498 8664 10834 12996 16251 21668 25992 32502 39847 43336 48753 65004 79694 97506 102923 119541 130008 159388 195012 205846 239082 308769 318776 358623 390024 411692 478164 617538 717246 757093 823384 926307 956328 1235076 1434492 1514186 1852614 1955537 2271279 2470152 2868984 3028372 3705228 3911074 4542558 5866611 6056744 6813837 7410456 7822148 9085116 11733222 13627674 14384767 15644296 17599833 18170232 23466444 27255348 28769534 35199666 43154301 46932888 54510696 57539068 70399332 86308602 115078136 129462903 140798664 172617204 215851199 258925806 345234408 431702398 517851612 647553597 863404796 1035703224 1295107194 1726809592 1942660791 2590214388 3885321582 4101172781 5180428776 7770643164 8202345562 12303518343 15541286328 16404691124 24607036686 32809382248 36910555029 49214073372 73821110058 77922282839 98428146744 147642220116 155844565678 233766848517 295284440232 311689131356 467533697034 623378262712 701300545551 935067394068 1402601091102 1870134788136 2805202182204 5610404364408