Search a number
-
+
4724138764828 = 227538354770117
BaseRepresentation
bin100010010111110110010…
…0111001110101000011100
3121201121211100112101221001
41010233230213032220130
51104400014010433303
614014123412520044
7665210363644240
oct104575447165034
917647740471831
104724138764828
1115615501a158a
126436a0620024
1328363b228a72
14124914482420
1582d4431431d
hex44bec9cea1c

4724138764828 has 96 divisors (see below), whose sum is σ = 9760479450624. Its totient is φ = 1958881736448.

The previous prime is 4724138764819. The next prime is 4724138764831. The reversal of 4724138764828 is 8284678314274.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4724138764828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67340026 + ... + 67410142.

It is an arithmetic number, because the mean of its divisors is an integer number (101671660944).

Almost surely, 24724138764828 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 4724138764828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880239725312).

4724138764828 is an abundant number, since it is smaller than the sum of its proper divisors (5036340685796).

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

4724138764828 is a wasteful number, since it uses less digits than its factorization.

4724138764828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70811 (or 70809 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 64.

The spelling of 4724138764828 in words is "four trillion, seven hundred twenty-four billion, one hundred thirty-eight million, seven hundred sixty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 53 83 106 166 212 332 371 547 581 742 1094 1162 1484 2188 2324 3829 4399 7658 8798 15316 17596 28991 30793 45401 57982 61586 70117 90802 115964 123172 140234 181604 202937 280468 317807 405874 490819 635614 811748 981638 1271228 1963276 2406253 3716201 4812506 5819711 7432402 9625012 11639422 14864804 16843771 23278844 26013407 33687542 38353999 40737977 52026814 67375084 76707998 81475954 104053628 153415996 162951908 268477993 308444683 536955986 616889366 1073911972 1233778732 2032761947 2159112781 3183381917 4065523894 4318225562 6366763834 8131047788 8636451124 12733527668 14229333629 22283673419 28458667258 44567346838 56917334516 89134693676 168719241601 337438483202 674876966404 1181034691207 2362069382414 4724138764828