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1005555050055 = 325233783316363
BaseRepresentation
bin11101010000111111100…
…00000110011001000111
310120010111212020012120200
432220133300012121013
5112433334043100210
62045540130301543
7132435406620153
oct16503760063107
93503455205520
101005555050055
113584a967a256
12142a724278b3
1373a921153ca
1436952110063
151b2542ac0c0
hexea1fc06647

1005555050055 has 96 divisors (see below), whose sum is σ = 1890409038336. Its totient is φ = 493099529472.

The previous prime is 1005555050051. The next prime is 1005555050069. The reversal of 1005555050055 is 5500505555001.

It is a happy number.

1005555050055 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 5 + 550 + 50 + 0 + 55 = 666.

1005555050055 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005555050055 - 22 = 1005555050051 is a prime.

It is a super-2 number, since 2×10055550500552 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005555050051) 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, 3020304 + ... + 3336666.

It is an arithmetic number, because the mean of its divisors is an integer number (19691760816).

Almost surely, 21005555050055 is an apocalyptic number.

1005555050055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005555050055 is a deficient number, since it is larger than the sum of its proper divisors (884853988281).

1005555050055 is a wasteful number, since it uses less digits than its factorization.

1005555050055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316517 (or 316514 counting only the distinct ones).

The product of its (nonzero) digits is 78125, while the sum is 36.

The spelling of 1005555050055 in words is "one trillion, five billion, five hundred fifty-five million, fifty thousand, fifty-five".

Divisors: 1 3 5 9 15 23 37 45 69 83 111 115 185 207 249 333 345 415 555 747 851 1035 1245 1665 1909 2553 3071 3735 4255 5727 7659 9213 9545 12765 15355 17181 27639 28635 38295 46065 70633 85905 138195 211899 316363 353165 635697 949089 1059495 1581815 2847267 3178485 4745445 7276349 11705431 14236335 21829047 26258129 35116293 36381745 58527155 65487141 78774387 105348879 109145235 131290645 175581465 236323161 269224913 327435705 393871935 526744395 603936967 807674739 971550773 1181615805 1346124565 1811810901 2423024217 2914652319 3019684835 4038373695 4857753865 5435432703 8743956957 9059054505 12115121085 14573261595 22345667779 27177163515 43719784785 67037003337 111728338895 201111010011 335185016685 1005555050055