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42947757552 = 2437239674603
BaseRepresentation
bin100111111111111000…
…101100010111110000
311002212002210010200010
4213333320230113300
51200424111220202
631421355254520
73050166626100
oct477770542760
9132762703603
1042947757552
1117239986a07
1283a714a440
1340859a4abb
142115c95200
1511b56ab76c
hex9ffe2c5f0

42947757552 has 120 divisors (see below), whose sum is σ = 129122973696. Its totient is φ = 12265029504.

The previous prime is 42947757551. The next prime is 42947757571. The reversal of 42947757552 is 25575774924.

It is a junction number, because it is equal to n+sod(n) for n = 42947757492 and 42947757501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42947757551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9328083 + ... + 9332685.

Almost surely, 242947757552 is an apocalyptic number.

42947757552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42947757552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64561486848).

42947757552 is an abundant number, since it is smaller than the sum of its proper divisors (86175216144).

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

42947757552 is a wasteful number, since it uses less digits than its factorization.

42947757552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8595 (or 8582 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 57.

The spelling of 42947757552 in words is "forty-two billion, nine hundred forty-seven million, seven hundred fifty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 3967 4603 7934 9206 11901 13809 15868 18412 23802 27618 27769 31736 32221 36824 47604 55236 55538 63472 64442 73648 83307 95208 96663 110472 111076 128884 166614 190416 193326 194383 220944 222152 225547 257768 333228 386652 388766 444304 451094 515536 583149 666456 676641 773304 777532 902188 1166298 1332912 1353282 1546608 1555064 1804376 2332596 2706564 3110128 3608752 4665192 5413128 9330384 10826256 18260101 36520202 54780303 73040404 109560606 127820707 146080808 219121212 255641414 292161616 383462121 438242424 511282828 766924242 876484848 894744949 1022565656 1533848484 1789489898 2045131312 2684234847 3067696968 3578979796 5368469694 6135393936 7157959592 10736939388 14315919184 21473878776 42947757552