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161130492768 = 253761264439
BaseRepresentation
bin1001011000010000100…
…0000011001101100000
3120101220110110010112110
42112010020003031200
510114443401232033
6202004453355320
714432651406330
oct2260410031540
9511813403473
10161130492768
1162375a65103
122728a338b40
131226b53595b
147b27b0d0c0
1542d0d48363
hex2584203360

161130492768 has 144 divisors (see below), whose sum is σ = 491453464320. Its totient is φ = 45281871360.

The previous prime is 161130492767. The next prime is 161130492773. The reversal of 161130492768 is 867294031161.

It is a super-3 number, since 3×1611304927683 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161130492763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2468293 + ... + 2532731.

It is an arithmetic number, because the mean of its divisors is an integer number (3412871280).

Almost surely, 2161130492768 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 161130492768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245726732160).

161130492768 is an abundant number, since it is smaller than the sum of its proper divisors (330322971552).

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

161130492768 is an equidigital number, since it uses as much as digits as its factorization.

161130492768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64581 (or 64512 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 161130492768 in words is "one hundred sixty-one billion, one hundred thirty million, four hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3416 3721 5124 5856 6832 7442 10248 11163 13664 14884 20496 22326 26047 29768 40992 44652 52094 59536 64439 78141 89304 104188 119072 128878 156282 178608 193317 208376 257756 312564 357216 386634 416752 451073 515512 625128 773268 833504 902146 1031024 1250256 1353219 1546536 1804292 2062048 2500512 2706438 3093072 3608584 3930779 5412876 6186144 7217168 7861558 10825752 11792337 14434336 15723116 21651504 23584674 27515453 31446232 43303008 47169348 55030906 62892464 82546359 94338696 110061812 125784928 165092718 188677392 220123624 239777519 330185436 377354784 440247248 479555038 660370872 719332557 880494496 959110076 1320741744 1438665114 1678442633 1918220152 2641483488 2877330228 3356885266 3836440304 5035327899 5754660456 6713770532 7672880608 10070655798 11509320912 13427541064 20141311596 23018641824 26855082128 40282623192 53710164256 80565246384 161130492768