Search a number
-
+
9601540006896 = 24331131511130171
BaseRepresentation
bin1000101110111000100001…
…1000011010001111110000
31020222220020211110100011000
42023232020120122033300
52224302423220210041
632230515300322000
72010455053315305
oct213561030321760
936886224410130
109601540006896
113071a990276a2
1210b0a143a3300
135485628a9186
14252a076c50ac
15119b58847bb6
hex8bb8861a3f0

9601540006896 has 160 divisors (see below), whose sum is σ = 27822484247040. Its totient is φ = 3170066457600.

The previous prime is 9601540006873. The next prime is 9601540006897. The reversal of 9601540006896 is 6986000451069.

It is a happy number.

9601540006896 is a `hidden beast` number, since 9 + 6 + 0 + 1 + 540 + 0 + 0 + 6 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9601540006897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73695891 + ... + 73826061.

It is an arithmetic number, because the mean of its divisors is an integer number (173890526544).

Almost surely, 29601540006896 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 9601540006896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13911242123520).

9601540006896 is an abundant number, since it is smaller than the sum of its proper divisors (18220944240144).

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

9601540006896 is a wasteful number, since it uses less digits than its factorization.

9601540006896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131812 (or 131800 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 9601540006896 in words is "nine trillion, six hundred one billion, five hundred forty million, six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 678 904 1017 1356 1511 1808 2034 2712 3022 3051 4068 4533 5424 6044 6102 8136 9066 12088 12204 13599 16272 18132 24176 24408 27198 36264 40797 48816 54396 72528 81594 108792 130171 163188 170743 217584 260342 326376 341486 390513 512229 520684 652752 682972 781026 1024458 1041368 1171539 1365944 1536687 1562052 2048916 2082736 2343078 2731888 3073374 3124104 3514617 4097832 4610061 4686156 6146748 6248208 7029234 8195664 9220122 9372312 12293496 14058468 14709323 18440244 18744624 24586992 28116936 29418646 36880488 44127969 56233872 58837292 73760976 88255938 117674584 132383907 176511876 196688381 235349168 264767814 353023752 393376762 397151721 529535628 590065143 706047504 786753524 794303442 1059071256 1180130286 1573507048 1588606884 1770195429 2118142512 2360260572 3147014096 3177213768 3540390858 4720521144 5310586287 6354427536 7080781716 9441042288 10621172574 14161563432 21242345148 22225787053 28323126864 42484690296 44451574106 66677361159 84969380592 88903148212 133354722318 177806296424 200032083477 266709444636 355612592848 400064166954 533418889272 600096250431 800128333908 1066837778544 1200192500862 1600256667816 2400385001724 3200513335632 4800770003448 9601540006896