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161061655216 = 247114713920011
BaseRepresentation
bin1001011000000000000…
…1011101001010110000
3120101201122220211011111
42112000001131022300
510114323240431331
6201553554123104
714431154323630
oct2260001351260
9511648824144
10161061655216
1162340118470
122726b280494
131225a1b3287
147b1c9106c0
1542c9c9bdb1
hex258005d2b0

161061655216 has 160 divisors (see below), whose sum is σ = 400214384640. Its totient is φ = 60971270400.

The previous prime is 161061655163. The next prime is 161061655241. The reversal of 161061655216 is 612556160161.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8038651 + ... + 8058661.

It is an arithmetic number, because the mean of its divisors is an integer number (2501339904).

Almost surely, 2161061655216 is an apocalyptic number.

161061655216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161061655216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200107192320).

161061655216 is an abundant number, since it is smaller than the sum of its proper divisors (239152729424).

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

161061655216 is a wasteful number, since it uses less digits than its factorization.

161061655216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20223 (or 20217 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 161061655216 in words is "one hundred sixty-one billion, sixty-one million, six hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 56 77 88 94 112 139 154 176 188 278 308 329 376 517 556 616 658 752 973 1034 1112 1232 1316 1529 1946 2068 2224 2632 3058 3619 3892 4136 5264 6116 6533 7238 7784 8272 10703 12232 13066 14476 15568 20011 21406 24464 26132 28952 40022 42812 45731 52264 57904 71863 80044 85624 91462 104528 140077 143726 160088 171248 182924 220121 280154 287452 320176 365848 440242 503041 560308 574904 731696 880484 940517 1006082 1120616 1149808 1540847 1760968 1881034 2012164 2241232 2781529 3081694 3521936 3762068 4024328 5563058 6163388 6583619 7524136 8048656 10345687 11126116 12326776 13167238 15048272 19470703 20691374 22252232 24653552 26334476 30596819 38941406 41382748 44504464 52668952 61193638 72419809 77882812 82765496 105337904 122387276 130731863 144839618 155765624 165530992 214177733 244774552 261463726 289679236 311531248 428355466 489549104 522927452 579358472 856710932 915123041 1045854904 1158716944 1438050493 1713421864 1830246082 2091709808 2876100986 3426843728 3660492164 5752201972 7320984328 10066353451 11504403944 14641968656 20132706902 23008807888 40265413804 80530827608 161061655216