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94008349008 = 24337186716651
BaseRepresentation
bin101011110001101010…
…1011001000101010000
322222122121021221021000
41113203111121011100
53020012114132013
6111104205102000
76535420532160
oct1274325310520
9288577257230
1094008349008
1136961298022
1216277257900
138b323a7c22
14479b3c65a0
1526a3200973
hex15e3559150

94008349008 has 160 divisors (see below), whose sum is σ = 308570885120. Its totient is φ = 26843529600.

The previous prime is 94008348991. The next prime is 94008349021. The reversal of 94008349008 is 80094380049.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5637483 + ... + 5654133.

It is an arithmetic number, because the mean of its divisors is an integer number (1928568032).

Almost surely, 294008349008 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 94008349008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154285442560).

94008349008 is an abundant number, since it is smaller than the sum of its proper divisors (214562536112).

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

94008349008 is a wasteful number, since it uses less digits than its factorization.

94008349008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18542 (or 18530 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 94008349008 in words is "ninety-four billion, eight million, three hundred forty-nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1867 3024 3734 5601 7468 11202 13069 14936 16651 16803 22404 26138 29872 33302 33606 39207 44808 49953 50409 52276 66604 67212 78414 89616 99906 100818 104552 116557 117621 133208 134424 149859 156828 199812 201636 209104 233114 235242 266416 268848 299718 313656 349671 352863 399624 403272 449577 466228 470484 599436 627312 699342 705726 799248 806544 899154 932456 940968 1049013 1198872 1398684 1411452 1798308 1864912 1881936 2098026 2397744 2797368 2822904 3147039 3596616 4196052 5594736 5645808 6294078 7193232 8392104 12588156 16784208 25176312 31087417 50352624 62174834 93262251 124349668 186524502 217611919 248699336 279786753 373049004 435223838 497398672 559573506 652835757 746098008 839360259 870447676 1119147012 1305671514 1492196016 1678720518 1740895352 1958507271 2238294024 2611343028 3357441036 3481790704 3917014542 4476588048 5222686056 5875521813 6714882072 7834029084 10445372112 11751043626 13429764144 15668058168 23502087252 31336116336 47004174504 94008349008