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45401253634816 = 28534679715153
BaseRepresentation
bin10100101001010110011011…
…00110000110001100000000
312221202022120102112202101121
422110223031212012030000
521422323231412303231
6240321014210442024
712364063250321662
oct1224531546061400
9187668512482347
1045401253634816
1113514622083362
125113097b93314
131c444209201c1
14b2d60a716532
1553aecde19311
hex294acd986300

45401253634816 has 72 divisors (see below), whose sum is σ = 92354930347680. Its totient is φ = 22267521908736.

The previous prime is 45401253634801. The next prime is 45401253634819. The reversal of 45401253634816 is 61843635210454.

It is a super-2 number, since 2×454012536348162 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45401253634819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63127096 + ... + 63842248.

It is an arithmetic number, because the mean of its divisors is an integer number (1282707365940).

Almost surely, 245401253634816 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 45401253634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46177465173840).

45401253634816 is an abundant number, since it is smaller than the sum of its proper divisors (46953676712864).

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

45401253634816 is an equidigital number, since it uses as much as digits as its factorization.

45401253634816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719901 (or 719887 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 45401253634816 in words is "forty-five trillion, four hundred one billion, two hundred fifty-three million, six hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 4679 6784 9358 13568 18716 37432 74864 149728 247987 299456 495974 598912 715153 991948 1197824 1430306 1983896 2860612 3967792 5721224 7935584 11442448 15871168 22884896 31742336 37903109 45769792 63484672 75806218 91539584 151612436 183079168 303224872 606449744 1212899488 2425798976 3346200887 4851597952 6692401774 9703195904 13384803548 26769607096 53539214192 107078428384 177348647011 214156856768 354697294022 428313713536 709394588044 856627427072 1418789176088 2837578352176 5675156704352 11350313408704 22700626817408 45401253634816