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161409511320 = 233523254922943
BaseRepresentation
bin1001011001010011000…
…0011010111110011000
3120102121220110202000220
42112110300122332120
510121031313330240
6202052302000040
714442610131441
oct2262460327630
9512556422026
10161409511320
11624a9508952
1227347876020
13122b42986a5
147b52bc02c8
1542ea5b05d0
hex2594c1af98

161409511320 has 128 divisors (see below), whose sum is σ = 505502208000. Its totient is φ = 41153176064.

The previous prime is 161409511313. The next prime is 161409511321. The reversal of 161409511320 is 23115904161.

It is a super-2 number, since 2×1614095113202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161409511321) 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, 7023769 + ... + 7046711.

It is an arithmetic number, because the mean of its divisors is an integer number (3949236000).

Almost surely, 2161409511320 is an apocalyptic number.

161409511320 is a gapful number since it is divisible by the number (10) 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 161409511320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252751104000).

161409511320 is an abundant number, since it is smaller than the sum of its proper divisors (344092696680).

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

161409511320 is a wasteful number, since it uses less digits than its factorization.

161409511320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25529 (or 25525 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 161409511320 in words is "one hundred sixty-one billion, four hundred nine million, five hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2549 2760 5098 7647 10196 12745 15294 20392 22943 25490 30588 38235 45886 50980 58627 61176 68829 76470 91772 101960 114715 117254 137658 152940 175881 183544 229430 234508 275316 293135 305880 344145 351762 458860 469016 527689 550632 586270 688290 703524 879405 917720 1055378 1172540 1376580 1407048 1583067 1758810 2110756 2345080 2638445 2753160 3166134 3517620 4221512 5276890 6332268 7035240 7915335 10553780 12664536 15830670 21107560 31661340 58481707 63322680 116963414 175445121 233926828 292408535 350890242 467853656 584817070 701780484 877225605 1169634140 1345079261 1403560968 1754451210 2339268280 2690158522 3508902420 4035237783 5380317044 6725396305 7017804840 8070475566 10760634088 13450792610 16140951132 20176188915 26901585220 32281902264 40352377830 53803170440 80704755660 161409511320