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106053780409984 = 2711109987684829
BaseRepresentation
bin11000000111010010010001…
…111010001000111010000000
3111220111122100022011222101101
4120013102101322020322000
5102400041120241104414
61013320233434344144
731224063354454561
oct3007222172107200
9456448308158341
10106053780409984
1130879179252650
12ba89b2458b054
134723aa0511234
141c2905d444168
15c3da7ee48a74
hex607491e88e80

106053780409984 has 64 divisors (see below), whose sum is σ = 230488631042400. Its totient is φ = 48205755141120.

The previous prime is 106053780409961. The next prime is 106053780409991. The reversal of 106053780409984 is 489904087350601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1060537804099842 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 154519282 + ... + 155204110.

Almost surely, 2106053780409984 is an apocalyptic number.

It is an amenable number.

106053780409984 is an abundant number, since it is smaller than the sum of its proper divisors (124434850632416).

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

106053780409984 is a wasteful number, since it uses less digits than its factorization.

106053780409984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794841 (or 794829 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 106053780409984 in words is "one hundred six trillion, fifty-three billion, seven hundred eighty million, four hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 109987 219974 439948 684829 879896 1209857 1369658 1759792 2419714 2739316 3519584 4839428 5478632 7039168 7533119 9678856 10957264 14078336 15066238 19357712 21914528 30132476 38715424 43829056 60264952 77430848 87658112 120529904 154861696 241059808 482119616 964239232 75322287223 150644574446 301289148892 602578297784 828545159453 1205156595568 1657090318906 2410313191136 3314180637812 4820626382272 6628361275624 9641252764544 13256722551248 26513445102496 53026890204992 106053780409984