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4423421464 = 23711191392719
BaseRepresentation
bin1000001111010100…
…00000111000011000
3102102021110002111121
410013222000320120
533024343441324
62010533135024
7214421314330
oct40752007030
912367402447
104423421464
11196a9a7020
12a3548a474
13556573867
142dd6940c0
151ad5135e4
hex107a80e18

4423421464 has 128 divisors (see below), whose sum is σ = 10967040000. Its totient is φ = 1620362880.

The previous prime is 4423421461. The next prime is 4423421477. The reversal of 4423421464 is 4641243244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4423421461) 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, 1625497 + ... + 1628215.

It is an arithmetic number, because the mean of its divisors is an integer number (85680000).

Almost surely, 24423421464 is an apocalyptic number.

4423421464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4423421464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483520000).

4423421464 is an abundant number, since it is smaller than the sum of its proper divisors (6543618536).

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

4423421464 is a wasteful number, since it uses less digits than its factorization.

4423421464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2897 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

The square root of 4423421464 is about 66508.8074167625. The cubic root of 4423421464 is about 1641.5449282719.

The spelling of 4423421464 in words is "four billion, four hundred twenty-three million, four hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 139 152 154 209 266 278 308 418 532 556 616 836 973 1064 1112 1463 1529 1672 1946 2641 2719 2926 3058 3892 5282 5438 5852 6116 7784 10564 10703 10876 11704 12232 18487 19033 21128 21406 21752 29051 29909 36974 38066 42812 51661 58102 59818 73948 76132 85624 103322 116204 119636 147896 152264 203357 206644 209363 232408 239272 361627 377941 406714 413288 418726 568271 723254 755882 813428 837452 1136542 1446508 1511764 1626856 1674904 2273084 2645587 2893016 3023528 3977897 4157351 4546168 5291174 7180879 7955794 8314702 10582348 14361758 15911588 16629404 21164696 28723516 29101457 31823176 33258808 50266153 57447032 58202914 78989669 100532306 116405828 157979338 201064612 232811656 315958676 402129224 552927683 631917352 1105855366 2211710732 4423421464