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616143121341616 = 241128323537525571
BaseRepresentation
bin1000110000011000001111111…
…1111000001101110010110000
32222210120201002111201102221001
42030012003333320031302300
51121224342103030412431
610022232124203411344
7243531604633520401
oct21406037770156260
92883521074642831
10616143121341616
1116935a9151a7720
12591307b8823b54
13205a507c444c0b
14ac216b41699a8
154b3746ad2be61
hex23060ffe0dcb0

616143121341616 has 80 divisors (see below), whose sum is σ = 1306962294380928. Its totient is φ = 279063038131200.

The previous prime is 616143121341607. The next prime is 616143121341623.

616143121341616 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1172068111 + ... + 1172593681.

Almost surely, 2616143121341616 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 616143121341616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653481147190464).

616143121341616 is an abundant number, since it is smaller than the sum of its proper divisors (690819173039312).

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

616143121341616 is a wasteful number, since it uses less digits than its factorization.

616143121341616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549410 (or 549404 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The spelling of 616143121341616 in words is "six hundred sixteen trillion, one hundred forty-three billion, one hundred twenty-one million, three hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 283 566 1132 2264 3113 4528 6226 12452 23537 24904 47074 49808 94148 188296 258907 376592 517814 525571 1035628 1051142 2071256 2102284 4142512 4204568 5781281 6660971 8409136 11562562 13321942 23125124 26643884 46250248 53287768 73270681 92500496 106575536 146541362 148736593 293082724 297473186 586165448 594946372 1172330896 1189892744 1636102523 2379785488 3272205046 6544410092 12370364627 13088820184 24740729254 26177640368 49481458508 98962917016 136074010897 197925834032 272148021794 544296043588 1088592087176 2177184174352 3500813189441 7001626378882 14003252757764 28006505515528 38508945083851 56013011031056 77017890167702 154035780335404 308071560670808 616143121341616