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64302029952 = 2731494492503
BaseRepresentation
bin111011111000101100…
…110001110010000000
320010222022121120101220
4323320230301302000
52023142304424302
645312343355040
74434315144036
oct737054616200
9203868546356
1064302029952
11252a7901916
1210566752a80
1360a9b0a644
14317dd88556
151a152884bc
hexef8b31c80

64302029952 has 128 divisors (see below), whose sum is σ = 172400400000. Its totient is φ = 21234253824.

The previous prime is 64302029923. The next prime is 64302029993. The reversal of 64302029952 is 25992020346.

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

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 15 ways as a sum of consecutive naturals, for example, 25688733 + ... + 25691235.

It is an arithmetic number, because the mean of its divisors is an integer number (1346878125).

Almost surely, 264302029952 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 64302029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86200200000).

64302029952 is an abundant number, since it is smaller than the sum of its proper divisors (108098370048).

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

64302029952 is a wasteful number, since it uses less digits than its factorization.

64302029952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 64302029952 in words is "sixty-four billion, three hundred two million, twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 298 384 447 449 596 894 898 1192 1347 1788 1796 2384 2503 2694 3576 3592 4768 5006 5388 7152 7184 7509 9536 10012 10776 14304 14368 15018 19072 20024 21552 28608 28736 30036 40048 43104 57216 57472 60072 66901 80096 86208 120144 133802 160192 172416 200703 240288 267604 320384 372947 401406 480576 535208 745894 802812 961152 1070416 1118841 1123847 1491788 1605624 2140832 2237682 2247694 2983576 3211248 3371541 4281664 4475364 4495388 5967152 6422496 6743082 8563328 8950728 8990776 11934304 12844992 13486164 17901456 17981552 23868608 25689984 26972328 35802912 35963104 47737216 53944656 71605824 71926208 107889312 143211648 143852416 167453203 215778624 334906406 431557248 502359609 669812812 1004719218 1339625624 2009438436 2679251248 4018876872 5358502496 8037753744 10717004992 16075507488 21434009984 32151014976 64302029952