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8348157053742 = 2311279261755619
BaseRepresentation
bin111100101111011010011…
…1011111000101100101110
31002120002001102022020020110
41321132310323320230232
52043234011201204432
625431031310000450
71521064054101312
oct171366473705456
932502042266213
108348157053742
112729485025800
12b29b18aa6126
134872c6716b2c
1420c0a5459b42
15e724c2cadcc
hex797b4ef8b2e

8348157053742 has 96 divisors (see below), whose sum is σ = 18591888268800. Its totient is φ = 2496723166080.

The previous prime is 8348157053693. The next prime is 8348157053791. The reversal of 8348157053742 is 2473507518438.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8348157053693) and next prime (8348157053791).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150067609 + ... + 150123227.

It is an arithmetic number, because the mean of its divisors is an integer number (193665502800).

Almost surely, 28348157053742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8348157053742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9295944134400).

8348157053742 is an abundant number, since it is smaller than the sum of its proper divisors (10243731215058).

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

8348157053742 is a wasteful number, since it uses less digits than its factorization.

8348157053742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58342 (or 58331 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 8348157053742 in words is "eight trillion, three hundred forty-eight billion, one hundred fifty-seven million, fifty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 79 121 158 237 242 363 474 726 869 1738 2607 2617 5214 5234 7851 9559 15702 19118 28677 28787 55619 57354 57574 86361 111238 166857 172722 206743 316657 333714 413486 611809 620229 633314 949971 1223618 1240458 1835427 1899942 2274173 3670854 4393901 4548346 6729899 6822519 8787802 13181703 13459798 13645038 20189697 25015903 26363406 40379394 48332911 50031806 75047709 96665822 144998733 145554923 150095418 289997466 291109846 436664769 531662021 873329538 1063324042 1594986063 1601104153 3189972126 3202208306 4803312459 9606624918 11498838917 17612145683 22997677834 34496516751 35224291366 52836437049 68993033502 105672874098 126487228087 252974456174 379461684261 758923368522 1391359508957 2782719017914 4174078526871 8348157053742