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42693437840 = 2451117477769
BaseRepresentation
bin100111110000101110…
…100010100110010000
311002012101020100121112
4213300232202212100
51144414010002330
631340232312452
73040661143154
oct476056424620
9132171210545
1042693437840
1117119372829
128335b42728
1340450ac171
1420d01b3064
15119d1c2795
hex9f0ba2990

42693437840 has 40 divisors (see below), whose sum is σ = 99351315960. Its totient is φ = 17062050816.

The previous prime is 42693437771. The next prime is 42693437881. The reversal of 42693437840 is 4873439624.

It can be written as a sum of positive squares in 4 ways, for example, as 1870043536 + 40823394304 = 43244^2 + 202048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149525 + ... + 328244.

It is an arithmetic number, because the mean of its divisors is an integer number (2483782899).

Almost surely, 242693437840 is an apocalyptic number.

42693437840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42693437840 is an abundant number, since it is smaller than the sum of its proper divisors (56657878120).

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

42693437840 is a wasteful number, since it uses less digits than its factorization.

42693437840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478899 (or 478893 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 50.

The spelling of 42693437840 in words is "forty-two billion, six hundred ninety-three million, four hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1117 2234 4468 5585 8936 11170 17872 22340 44680 89360 477769 955538 1911076 2388845 3822152 4777690 7644304 9555380 19110760 38221520 533667973 1067335946 2134671892 2668339865 4269343784 5336679730 8538687568 10673359460 21346718920 42693437840