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9077004672 = 273191319497
BaseRepresentation
bin10000111010000100…
…00001100110000000
3212102120222121120020
420131002001212000
5122042203122142
64100411413440
7440636160321
oct103502014600
925376877506
109077004672
113938806a5a
121913a54280
13b187021a8
1462173c448
15381d3ccec
hex21d081980

9077004672 has 128 divisors (see below), whose sum is σ = 25576214400. Its totient is φ = 2844241920.

The previous prime is 9077004623. The next prime is 9077004697. The reversal of 9077004672 is 2764007709.

It is a tau number, because it is divible by the number of its divisors (128).

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, 951028 + ... + 960524.

It is an arithmetic number, because the mean of its divisors is an integer number (199814175).

Almost surely, 29077004672 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 9077004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12788107200).

9077004672 is an abundant number, since it is smaller than the sum of its proper divisors (16499209728).

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

9077004672 is a wasteful number, since it uses less digits than its factorization.

9077004672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9664 (or 9652 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 9077004672 is about 95273.3156345469. The cubic root of 9077004672 is about 2085.9994343576. Note that the first 3 decimals are identical.

The spelling of 9077004672 in words is "nine billion, seventy-seven million, four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 131 152 192 228 262 304 384 393 456 524 608 786 912 1048 1216 1572 1824 2096 2432 2489 3144 3648 4192 4978 6288 7296 7467 8384 9497 9956 12576 14934 16768 18994 19912 25152 28491 29868 37988 39824 50304 56982 59736 75976 79648 113964 119472 151952 159296 180443 227928 238944 303904 318592 360886 455856 477888 541329 607808 721772 911712 955776 1082658 1215616 1244107 1443544 1823424 2165316 2488214 2887088 3646848 3732321 4330632 4976428 5774176 7464642 8661264 9952856 11548352 14929284 17322528 19905712 23096704 23638033 29858568 34645056 39811424 47276066 59717136 69290112 70914099 79622848 94552132 119434272 141828198 159245696 189104264 238868544 283656396 378208528 477737088 567312792 756417056 1134625584 1512834112 2269251168 3025668224 4538502336 9077004672