Search a number
-
+
4628620442152 = 237432447785527
BaseRepresentation
bin100001101011010111101…
…0001101111101000101000
3121101111021111221212012101
41003112233101233220220
51101313403313122102
613502205303423144
7655256346414340
oct103265721575050
917344244855171
104628620442152
111524a94631a43
12629083754ab4
13277628078cc5
1412005271bd20
1580603798e87
hex435af46fa28

4628620442152 has 64 divisors (see below), whose sum is σ = 10153295032320. Its totient is φ = 1936767768768.

The previous prime is 4628620442077. The next prime is 4628620442177. The reversal of 4628620442152 is 2512440268264.

It is a happy number.

It is a super-2 number, since 2×46286204421522 (a number of 26 digits) contains 22 as substring.

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, 5499613 + ... + 6285139.

It is an arithmetic number, because the mean of its divisors is an integer number (158645234880).

Almost surely, 24628620442152 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 4628620442152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076647516160).

4628620442152 is an abundant number, since it is smaller than the sum of its proper divisors (5524674590168).

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

4628620442152 is a wasteful number, since it uses less digits than its factorization.

4628620442152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788030 (or 788026 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 46.

The spelling of 4628620442152 in words is "four trillion, six hundred twenty-eight billion, six hundred twenty million, four hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 2408 2447 4894 9788 17129 19576 34258 68516 105221 137032 210442 420884 736547 785527 841768 1473094 1571054 2946188 3142108 5498689 5892376 6284216 10997378 21994756 33777661 43989512 67555322 135110644 236443627 270221288 472887254 945774508 1891549016 1922184569 3844369138 7688738276 13455291983 15377476552 26910583966 53821167932 82653936467 107642335864 165307872934 330615745868 578577555269 661231491736 1157155110538 2314310221076 4628620442152