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4890296064 = 28323212037
BaseRepresentation
bin1001000110111101…
…11111111100000000
3110121210221210001110
410203132333330000
540003403433224
62125132003320
7232120554633
oct44336777400
913553853043
104890296064
11208a4988a5
12b45900540
135cc1cb214
143456a5c1a
151d94d6929
hex1237bff00

4890296064 has 108 divisors (see below), whose sum is σ = 13606936616. Its totient is φ = 1559095296.

The previous prime is 4890296029. The next prime is 4890296093. The reversal of 4890296064 is 4606920984.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400254 + ... + 412290.

Almost surely, 24890296064 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 4890296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803468308).

4890296064 is an abundant number, since it is smaller than the sum of its proper divisors (8716640552).

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

4890296064 is a wasteful number, since it uses less digits than its factorization.

4890296064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12102 (or 12065 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 4890296064 is about 69930.6518202140. The cubic root of 4890296064 is about 1697.3772780648.

The spelling of 4890296064 in words is "four billion, eight hundred ninety million, two hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 529 552 736 768 1058 1104 1472 1587 2116 2208 2944 3174 4232 4416 5888 6348 8464 8832 12037 12696 16928 17664 24074 25392 33856 36111 48148 50784 67712 72222 96296 101568 135424 144444 192592 203136 276851 288888 385184 406272 553702 577776 770368 830553 1107404 1155552 1540736 1661106 2214808 2311104 3081472 3322212 4429616 4622208 6367573 6644424 8859232 9244416 12735146 13288848 17718464 19102719 25470292 26577696 35436928 38205438 50940584 53155392 70873856 76410876 101881168 106310784 152821752 203762336 212621568 305643504 407524672 611287008 815049344 1222574016 1630098688 2445148032 4890296064