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550156780262106 = 232298632710745053
BaseRepresentation
bin111110100010111010101101…
…1011101010101001011011010
32200010221110210221110102111200
41331011311123131111023122
51034102232041221341411
65230030311420135030
7223611341612004213
oct17505653335251332
92603843727412450
10550156780262106
1114a32a1a899a306
12518540a0697476
131a7c973c293a14
1499bda31ad240a
154390c914ede56
hex1f45d5b7552da

550156780262106 has 96 divisors (see below), whose sum is σ = 1234611835292160. Its totient is φ = 176846332209792.

The previous prime is 550156780262099. The next prime is 550156780262113. The reversal of 550156780262106 is 601262087651055.

550156780262106 is a `hidden beast` number, since 5 + 5 + 0 + 1 + 5 + 6 + 7 + 8 + 0 + 2 + 621 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (550156780262099) and next prime (550156780262113).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12211301476 + ... + 12211346528.

It is an arithmetic number, because the mean of its divisors is an integer number (12860539950960).

Almost surely, 2550156780262106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550156780262106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617305917646080).

550156780262106 is an abundant number, since it is smaller than the sum of its proper divisors (684455055030054).

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

550156780262106 is a wasteful number, since it uses less digits than its factorization.

550156780262106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73060 (or 73057 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 550156780262106 in words is "five hundred fifty trillion, one hundred fifty-six billion, seven hundred eighty million, two hundred sixty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 863 1726 2589 5178 7767 15534 25027 27107 45053 50054 54214 75081 81321 90106 135159 150162 162642 225243 243963 270318 405477 450486 487926 786103 810954 1306537 1572206 2358309 2613074 3919611 4716618 7074927 7839222 11758833 14149854 23393341 23517666 38880739 46786682 70180023 77761478 116642217 140360046 210540069 233284434 349926651 421080138 678406889 699853302 1127541431 1221251671 1356813778 2035220667 2255082862 2442503342 3382624293 3663755013 4070441334 6105662001 6765248586 7327510026 10147872879 10991265039 12211324002 20295745758 21982530078 35416298459 70832596918 106248895377 212497790754 318746686131 637493372262 1053940192073 2107880384146 3161820576219 6323641152438 9485461728657 18970923457314 30564265570117 61128531140234 91692796710351 183385593420702 275078390131053 550156780262106