Search a number
-
+
69936584448 = 2831913071553
BaseRepresentation
bin100000100100010001…
…0111001011100000000
320200112000000121002110
41001020202321130000
52121212231200243
652043423415320
75024044105443
oct1011042713400
9220460017073
1069936584448
1127729419025
1211679754540
136797272b63
14355642965a
151c44c85e33
hex10488b9700

69936584448 has 144 divisors (see below), whose sum is σ = 187838171136. Its totient is φ = 23099719680.

The previous prime is 69936584401. The next prime is 69936584453. The reversal of 69936584448 is 84448563996.

It is a super-2 number, since 2×699365844482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 45032440 + ... + 45033992.

It is an arithmetic number, because the mean of its divisors is an integer number (1304431744).

Almost surely, 269936584448 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 69936584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93919085568).

69936584448 is an abundant number, since it is smaller than the sum of its proper divisors (117901586688).

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

69936584448 is a wasteful number, since it uses less digits than its factorization.

69936584448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2056 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 66.

The spelling of 69936584448 in words is "sixty-nine billion, nine hundred thirty-six million, five hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 307 382 384 573 614 764 768 921 1146 1228 1528 1553 1842 2292 2456 3056 3106 3684 4584 4659 4912 6112 6212 7368 9168 9318 9824 12224 12424 14736 18336 18636 19648 24448 24848 29472 36672 37272 39296 48896 49696 58637 58944 73344 74544 78592 99392 117274 117888 146688 149088 175911 198784 234548 235776 296623 298176 351822 397568 469096 476771 593246 596352 703644 889869 938192 953542 1186492 1192704 1407288 1430313 1779738 1876384 1907084 2372984 2814576 2860626 3559476 3752768 3814168 4745968 5629152 5721252 7118952 7505536 7628336 9491936 11258304 11442504 14237904 15011072 15256672 18983872 22516608 22885008 28475808 30513344 37967744 45033216 45770016 56951616 61026688 75935488 91063261 91540032 113903232 122053376 182126522 183080064 227806464 273189783 364253044 366160128 546379566 728506088 1092759132 1457012176 2185518264 2914024352 4371036528 5828048704 8742073056 11656097408 17484146112 23312194816 34968292224 69936584448