Search a number
-
+
1054303122552 = 233295003302779
BaseRepresentation
bin11110101011110010101…
…11001111010001111000
310201210100012022212112020
433111321113033101320
5114233203044410202
62124201250514440
7136112420451411
oct17257127172170
93653305285466
101054303122552
11377144699679
121503b7b95a20
13785606ac114
1439058474808
151c658caa5bc
hexf5795cf478

1054303122552 has 64 divisors (see below), whose sum is σ = 2727200016000. Its totient is φ = 339247004544.

The previous prime is 1054303122503. The next prime is 1054303122553. The reversal of 1054303122552 is 2552213034501.

It is a super-2 number, since 2×10543031225522 (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 (1054303122553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3330699 + ... + 3633477.

It is an arithmetic number, because the mean of its divisors is an integer number (42612500250).

Almost surely, 21054303122552 is an apocalyptic number.

1054303122552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054303122552 is an abundant number, since it is smaller than the sum of its proper divisors (1672896893448).

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

1054303122552 is a wasteful number, since it uses less digits than its factorization.

1054303122552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307820 (or 307816 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 1054303122552 in words is "one trillion, fifty-four billion, three hundred three million, one hundred twenty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 5003 10006 15009 20012 30018 40024 60036 120072 145087 290174 302779 435261 580348 605558 870522 908337 1160696 1211116 1741044 1816674 2422232 3482088 3633348 7266696 8780591 17561182 26341773 35122364 52683546 70244728 105367092 210734184 1514803337 3029606674 4544410011 6059213348 9088820022 12118426696 18177640044 36355280088 43929296773 87858593546 131787890319 175717187092 263575780638 351434374184 527151561276 1054303122552