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5462206502144 = 287171103162557
BaseRepresentation
bin100111101111100010011…
…1000001101010100000000
3201100011220120012020001212
41033133010320031110000
51203443044331032034
615341145241545252
71102426366130540
oct117370470152400
921304816166055
105462206502144
111816566197707
12742741aa5228
13308112329852
1414c52d48d320
15971404212ce
hex4f7c4e0d500

5462206502144 has 144 divisors (see below), whose sum is σ = 13205681330688. Its totient is φ = 2201231917056.

The previous prime is 5462206502099. The next prime is 5462206502147. The reversal of 5462206502144 is 4412056022645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5462206502147) 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 15 ways as a sum of consecutive naturals, for example, 33520514 + ... + 33683070.

It is an arithmetic number, because the mean of its divisors is an integer number (91706120352).

Almost surely, 25462206502144 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 5462206502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602840665344).

5462206502144 is an abundant number, since it is smaller than the sum of its proper divisors (7743474828544).

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

5462206502144 is a wasteful number, since it uses less digits than its factorization.

5462206502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163700 (or 163686 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The spelling of 5462206502144 in words is "five trillion, four hundred sixty-two billion, two hundred six million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1103 1792 1904 2176 2206 3808 4352 4412 7616 7721 8824 15232 15442 17648 18751 30464 30884 35296 37502 61768 70592 75004 123536 131257 141184 150008 162557 247072 262514 282368 300016 325114 494144 525028 600032 650228 988288 1050056 1137899 1200064 1300456 1976576 2100112 2275798 2400128 2600912 2763469 4200224 4551596 4800256 5201824 5526938 8400448 9103192 10403648 11053876 16800896 18206384 19344283 20807296 22107752 33601792 36412768 38688566 41614592 44215504 72825536 77377132 88431008 145651072 154754264 176862016 179300371 291302144 309508528 353724032 358600742 619017056 707448064 717201484 1238034112 1255102597 1434402968 2476068224 2510205194 2868805936 3048106307 4952136448 5020410388 5737611872 6096212614 10040820776 11475223744 12192425228 20081641552 21336744149 22950447488 24384850456 40163283104 42673488298 45900894976 48769700912 80326566208 85346976596 97539401824 160653132416 170693953192 195078803648 321306264832 341387906384 390157607296 682775812768 780315214592 1365551625536 2731103251072 5462206502144