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161412974944 = 251323910091609
BaseRepresentation
bin1001011001010011110…
…1101000100101100000
3120102122010222201020021
42112110331220211200
510121033210144234
6202052504123224
714442651435454
oct2262475504540
9512563881207
10161412974944
1162500464151
1227348a66514
13122b4c0c080
147b53442664
1542eaa469b4
hex2594f68960

161412974944 has 96 divisors (see below), whose sum is σ = 344212848000. Its totient is φ = 74067001344.

The previous prime is 161412974897. The next prime is 161412974951. The reversal of 161412974944 is 449479214161.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 161412974891 and 161412974900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100318012 + ... + 100319620.

It is an arithmetic number, because the mean of its divisors is an integer number (3585550500).

Almost surely, 2161412974944 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 161412974944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172106424000).

161412974944 is an abundant number, since it is smaller than the sum of its proper divisors (182799873056).

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

161412974944 is a wasteful number, since it uses less digits than its factorization.

161412974944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2872 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

It can be divided in two parts, 161412 and 974944, that added together give a square (1136356 = 10662).

The spelling of 161412974944 in words is "one hundred sixty-one billion, four hundred twelve million, nine hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 239 416 478 956 1009 1609 1912 2018 3107 3218 3824 4036 6214 6436 7648 8072 12428 12872 13117 16144 20917 24856 25744 26234 32288 41834 49712 51488 52468 83668 99424 104936 167336 209872 241151 334672 384551 419744 482302 669344 769102 964604 1538204 1623481 1929208 3076408 3134963 3246962 3858416 4999163 6152816 6269926 6493924 7716832 9998326 12305632 12539852 12987848 19996652 21105253 25079704 25975696 39993304 42210506 50159408 51951392 79986608 84421012 100318816 159973216 168842024 337684048 388011959 675368096 776023918 1552047836 3104095672 5044155467 6208191344 10088310934 12416382688 20176621868 40353243736 80706487472 161412974944