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2555791232742 = 235111034641509
BaseRepresentation
bin100101001100010001000…
…001110100111011100110
3100001022221111002211200000
4211030101001310323212
5313333230023421432
65234040404002130
7352435614014556
oct45142101647346
910038844084600
102555791232742
118a59a55811a0
123533b5390346
131570191b3ba7
148b9b55cb166
1546736b0157c
hex25311074ee6

2555791232742 has 96 divisors (see below), whose sum is σ = 6325524092160. Its totient is φ = 766962781920.

The previous prime is 2555791232641. The next prime is 2555791232747. The reversal of 2555791232742 is 2472321975552.

2555791232742 is a `hidden beast` number, since 2 + 5 + 5 + 579 + 1 + 2 + 3 + 27 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555791232747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1770117 + ... + 2871392.

It is an arithmetic number, because the mean of its divisors is an integer number (65890875960).

Almost surely, 22555791232742 is an apocalyptic number.

2555791232742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2555791232742 is an abundant number, since it is smaller than the sum of its proper divisors (3769732859418).

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

2555791232742 is a wasteful number, since it uses less digits than its factorization.

2555791232742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641640 (or 4641628 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 2555791232742 in words is "two trillion, five hundred fifty-five billion, seven hundred ninety-one million, two hundred thirty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 103 162 198 206 243 297 309 486 594 618 891 927 1133 1782 1854 2266 2673 2781 3399 5346 5562 6798 8343 10197 16686 20394 25029 30591 50058 61182 91773 183546 275319 550638 4641509 9283018 13924527 27849054 41773581 51056599 83547162 102113198 125320743 153169797 250641486 306339594 375962229 459509391 478075427 751924458 919018782 956150854 1127886687 1378528173 1434226281 2255773374 2757056346 2868452562 4135584519 4302678843 5258829697 8271169038 8605357686 10517659394 12406753557 12908036529 15776489091 24813507114 25816073058 31552978182 38724109587 47329467273 77448219174 94658934546 116172328761 141988401819 232344657522 283976803638 425965205457 851930410914 1277895616371 2555791232742