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4502381968 = 2471931131521
BaseRepresentation
bin1000011000101110…
…01110010110010000
3102121210000200221201
410030113032112100
533210102210333
62022433400544
7216400421020
oct41427162620
912553020851
104502381968
111a00528237
12a57a09154
13569a2ba56
14309d69a80
151b540e17d
hex10c5ce590

4502381968 has 160 divisors (see below), whose sum is σ = 10936442880. Its totient is φ = 1752192000.

The previous prime is 4502381953. The next prime is 4502381969. The reversal of 4502381968 is 8691832054.

It is not an unprimeable number, because it can be changed into a prime (4502381969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8641548 + ... + 8642068.

It is an arithmetic number, because the mean of its divisors is an integer number (68352768).

Almost surely, 24502381968 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 4502381968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468221440).

4502381968 is an abundant number, since it is smaller than the sum of its proper divisors (6434060912).

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

4502381968 is a wasteful number, since it uses less digits than its factorization.

4502381968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 4502381968 is about 67099.7911174096. The cubic root of 4502381968 is about 1651.2548725111.

The spelling of 4502381968 in words is "four billion, five hundred two million, three hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 131 133 152 217 248 262 266 304 434 496 521 524 532 589 868 917 1042 1048 1064 1178 1736 1834 2084 2096 2128 2356 2489 3472 3647 3668 4061 4123 4168 4712 4978 7294 7336 8122 8246 8336 9424 9899 9956 14588 14672 16151 16244 16492 17423 19798 19912 28427 29176 32302 32488 32984 34846 39596 39824 56854 58352 64604 64976 65968 68251 69293 69692 77159 79192 113057 113708 129208 136502 138586 139384 154318 158384 226114 227416 258416 273004 277172 278768 306869 308636 452228 454832 477757 540113 546008 554344 613738 617272 904456 955514 1080226 1092016 1108688 1227476 1234544 1296769 1808912 1911028 2115781 2148083 2160452 2454952 2593538 3822056 4231562 4296166 4320904 4909904 5187076 7644112 8463124 8592332 8641808 9077383 10374152 14810467 16926248 17184664 18154766 20748304 29620934 33852496 34369328 36309532 40199839 59241868 72619064 80399678 118483736 145238128 160799356 236967472 281398873 321598712 562797746 643197424 1125595492 2251190984 4502381968