Search a number
-
+
2402545115004 = 2232925791929231
BaseRepresentation
bin100010111101100010110…
…110010001111101111100
322111200101111111110101120
4202331202312101331330
5303330403022140004
65035414115510540
7335402210345316
oct42754266217574
98450344443346
102402545115004
11846a060a0811
123297675b8450
13145736269908
14843d8a887b6
15427680643d9
hex22f62d91f7c

2402545115004 has 96 divisors (see below), whose sum is σ = 5828346316800. Its totient is φ = 769359790080.

The previous prime is 2402545114997. The next prime is 2402545115011. The reversal of 2402545115004 is 4005115452042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2402545114997) and next prime (2402545115011).

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, 82177069 + ... + 82206299.

It is an arithmetic number, because the mean of its divisors is an integer number (60711940800).

Almost surely, 22402545115004 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 2402545115004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914173158400).

2402545115004 is an abundant number, since it is smaller than the sum of its proper divisors (3425801201796).

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

2402545115004 is a wasteful number, since it uses less digits than its factorization.

2402545115004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30443 (or 30441 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 2402545115004 in words is "two trillion, four hundred two billion, five hundred forty-five million, one hundred fifteen thousand, four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 257 348 514 771 919 1028 1542 1838 2757 3084 3676 5514 7453 11028 14906 22359 26651 29231 29812 44718 53302 58462 79953 87693 89436 106604 116924 159906 175386 236183 319812 350772 472366 708549 847699 944732 1417098 1695398 2543097 2834196 3390796 5086194 6849307 7512367 10172388 13698614 15024734 20547921 22537101 26863289 27397228 30049468 41095842 45074202 53726578 80589867 82191684 90148404 107453156 161179734 217858643 322359468 435717286 653575929 779035381 871434572 1307151858 1558070762 2337106143 2614303716 3116141524 4674212286 6903865273 9348424572 13807730546 20711595819 27615461092 41423191638 82846383276 200212092917 400424185834 600636278751 800848371668 1201272557502 2402545115004