Search a number
-
+
61530033816 = 233229229128683
BaseRepresentation
bin111001010011011110…
…011100111010011000
312212211010121120120100
4321103132130322120
52002003142040231
644133322055400
74305525441456
oct712336347230
9185733546510
1061530033816
1124105111119
12bb1234a560
135a57736944
142d99b739d6
151901c311e6
hexe5379ce98

61530033816 has 96 divisors (see below), whose sum is σ = 173144322000. Its totient is φ = 19716141312.

The previous prime is 61530033793. The next prime is 61530033821. The reversal of 61530033816 is 61833003516.

It is a happy number.

61530033816 is a `hidden beast` number, since 6 + 1 + 5 + 300 + 338 + 16 = 666.

It is a super-2 number, since 2×615300338162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413811 + ... + 542493.

Almost surely, 261530033816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61530033816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86572161000).

61530033816 is an abundant number, since it is smaller than the sum of its proper divisors (111614288184).

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

61530033816 is a wasteful number, since it uses less digits than its factorization.

61530033816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128953 (or 128946 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 61530033816 in words is "sixty-one billion, five hundred thirty million, thirty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 229 232 261 348 458 522 687 696 916 1044 1374 1832 2061 2088 2748 4122 5496 6641 8244 13282 16488 19923 26564 39846 53128 59769 79692 119538 128683 159384 239076 257366 386049 478152 514732 772098 1029464 1158147 1544196 2316294 3088392 3731807 4632588 7463614 9265176 11195421 14927228 22390842 29468407 29854456 33586263 44781684 58936814 67172526 88405221 89563368 117873628 134345052 176810442 235747256 265215663 268690104 353620884 530431326 707241768 854583803 1060862652 1709167606 2121725304 2563751409 3418335212 5127502818 6836670424 7691254227 10255005636 15382508454 20510011272 30765016908 61530033816