Search a number
-
+
1661034498858 = 233724571373639
BaseRepresentation
bin11000001010111101010…
…111110000101100101010
312212210102100110021101000
4120022331113300230222
5204203244312430413
63311022501535430
7231001661166300
oct30127527605452
95783370407330
101661034498858
11590493742889
12229b05114576
13c0833aac017
145a57470c270
152d319a80073
hex182bd5f0b2a

1661034498858 has 96 divisors (see below), whose sum is σ = 4303229500800. Its totient is φ = 473542469568.

The previous prime is 1661034498857. The next prime is 1661034498863. The reversal of 1661034498858 is 8588944301661.

1661034498858 is a `hidden beast` number, since 1 + 6 + 6 + 103 + 449 + 8 + 85 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1661034498795 and 1661034498804.

It is not an unprimeable number, because it can be changed into a prime (1661034498857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522403 + ... + 1896041.

It is an arithmetic number, because the mean of its divisors is an integer number (44825307300).

Almost surely, 21661034498858 is an apocalyptic number.

1661034498858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1661034498858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151614750400).

1661034498858 is an abundant number, since it is smaller than the sum of its proper divisors (2642195001942).

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

1661034498858 is a wasteful number, since it uses less digits than its factorization.

1661034498858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374121 (or 1374108 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 1661034498858 in words is "one trillion, six hundred sixty-one billion, thirty-four million, four hundred ninety-eight thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 457 882 914 1323 1371 2646 2742 3199 4113 6398 8226 9597 12339 19194 22393 24678 28791 44786 57582 67179 86373 134358 172746 201537 403074 604611 1209222 1373639 2747278 4120917 8241834 9615473 12362751 19230946 24725502 28846419 37088253 57692838 67308311 74176506 86539257 134616622 173078514 201924933 259617771 403849866 519235542 605774799 627753023 1211549598 1255506046 1817324397 1883259069 3634648794 3766518138 4394271161 5649777207 8788542322 11299554414 13182813483 16949331621 26365626966 30759898127 33898663242 39548440449 61519796254 79096880898 92279694381 118645321347 184559388762 237290642694 276839083143 553678166286 830517249429 1661034498858