Search a number
-
+
6120257132745 = 325729902974203
BaseRepresentation
bin101100100001111101111…
…0000001001100011001001
3210200002110020112212012200
41121003323300021203021
51300233241311221440
621003335102430413
71201113451163550
oct131037360114311
923602406485180
106120257132745
111a4a64a662178
1282a191892409
133551a38b6302
1417231734ad97
15a93067d0c30
hex590fbc098c9

6120257132745 has 96 divisors (see below), whose sum is σ = 12543562886400. Its totient is φ = 2701019284992.

The previous prime is 6120257132729. The next prime is 6120257132747. The reversal of 6120257132745 is 5472317520216.

6120257132745 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 2 + 571 + 3 + 2 + 74 + 5 = 666.

It is not a de Polignac number, because 6120257132745 - 24 = 6120257132729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 6120257132745.

It is not an unprimeable number, because it can be changed into a prime (6120257132747) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82442814 + ... + 82517016.

It is an arithmetic number, because the mean of its divisors is an integer number (130662113400).

Almost surely, 26120257132745 is an apocalyptic number.

It is an amenable number.

6120257132745 is an abundant number, since it is smaller than the sum of its proper divisors (6423305753655).

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

6120257132745 is a wasteful number, since it uses less digits than its factorization.

6120257132745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83279 (or 83276 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 6120257132745 in words is "six trillion, one hundred twenty billion, two hundred fifty-seven million, one hundred thirty-two thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 3045 9029 9135 27087 45145 63203 74203 81261 135435 189609 222609 261841 316015 371015 406305 519421 568827 667827 785523 948045 1113045 1309205 1558263 1832887 2151887 2356569 2597105 2844135 3339135 3927615 4674789 5498661 6455661 7791315 9164435 10759435 11782845 15063209 16495983 19366983 23373945 27493305 32278305 45189627 75316045 82479915 96834915 135568881 225948135 669978887 677844405 2009936661 3349894435 4689852209 6029809983 10049683305 14069556627 19429387723 23449261045 30149049915 42208669881 58288163169 70347783135 97146938615 136005714061 174864489507 211043349405 291440815845 408017142183 680028570305 874322447535 1224051426549 2040085710915 6120257132745