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99143646464 = 281931673977
BaseRepresentation
bin101110001010101101…
…0111111110100000000
3100110220111021002001002
41130111122333310000
53111021233141324
6113313532231132
710106605042652
oct1342532776400
9313814232032
1099143646464
1139057005005
121726b00b4a8
139470288585
144b274266d2
1528a3e803ae
hex17156bfd00

99143646464 has 144 divisors (see below), whose sum is σ = 215575610880. Its totient is φ = 45333872640.

The previous prime is 99143646461. The next prime is 99143646527. The reversal of 99143646464 is 46464634199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99143646461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101477144 + ... + 101478120.

Almost surely, 299143646464 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 99143646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107787805440).

99143646464 is an abundant number, since it is smaller than the sum of its proper divisors (116431964416).

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

99143646464 is a wasteful number, since it uses less digits than its factorization.

99143646464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1702 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 56.

The spelling of 99143646464 in words is "ninety-nine billion, one hundred forty-three million, six hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 589 608 673 977 992 1178 1216 1346 1954 1984 2356 2432 2692 3908 3968 4712 4864 5384 7816 7936 9424 10768 12787 15632 18563 18848 20863 21536 25574 30287 31264 37126 37696 41726 43072 51148 60574 62528 74252 75392 83452 86144 102296 121148 125056 148504 150784 166904 172288 204592 242296 250112 297008 333808 396397 409184 484592 575453 594016 657521 667616 792794 818368 969184 1150906 1188032 1315042 1335232 1585588 1636736 1938368 2301812 2376064 2630084 2670464 3171176 3273472 3876736 4603624 4752128 5260168 5340928 6342352 7753472 9207248 10520336 12492899 12684704 18414496 20383151 21040672 24985798 25369408 36828992 40766302 42081344 49971596 50738816 73657984 81532604 84162688 99943192 101477632 147315968 163065208 168325376 199886384 326130416 387279869 399772768 652260832 774559738 799545536 1304521664 1549119476 1599091072 2609043328 3098238952 3198182144 5218086656 6196477904 12392955808 24785911616 49571823232 99143646464