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157982744742456 = 233431031486252961
BaseRepresentation
bin100011111010111100111001…
…011000011000101000111000
3202201101000002010001021212010
4203322330321120120220320
5131201342130123224311
61320000134312045520
745163606455411414
oct4372747130305070
9681330063037763
10157982744742456
114637a118895077
12158761456938a0
136a1c92a6061ba
142b02597131d44
15133e76159ada6
hex8faf39618a38

157982744742456 has 64 divisors (see below), whose sum is σ = 408065613246720. Its totient is φ = 50936861445120.

The previous prime is 157982744742401. The next prime is 157982744742457. The reversal of 157982744742456 is 654247447289751.

157982744742456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157982744742457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743020185 + ... + 743232776.

It is an arithmetic number, because the mean of its divisors is an integer number (6376025206980).

Almost surely, 2157982744742456 is an apocalyptic number.

It is an amenable number.

157982744742456 is an abundant number, since it is smaller than the sum of its proper divisors (250082868504264).

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

157982744742456 is a wasteful number, since it uses less digits than its factorization.

157982744742456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486253116 (or 1486253112 counting only the distinct ones).

The product of its digits is 3793305600, while the sum is 75.

The spelling of 157982744742456 in words is "one hundred fifty-seven trillion, nine hundred eighty-two billion, seven hundred forty-four million, seven hundred forty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 103 129 172 206 258 309 344 412 516 618 824 1032 1236 2472 4429 8858 13287 17716 26574 35432 53148 106296 1486252961 2972505922 4458758883 5945011844 8917517766 11890023688 17835035532 35670071064 63908877323 127817754646 153084054983 191726631969 255635509292 306168109966 383453263938 459252164949 511271018584 612336219932 766906527876 918504329898 1224672439864 1533813055752 1837008659796 3674017319592 6582614364269 13165228728538 19747843092807 26330457457076 39495686185614 52660914914152 78991372371228 157982744742456