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154222725696 = 26313292130619
BaseRepresentation
bin1000111110100001100…
…1000000101001000000
3112202002001021012112120
42033220121000221000
510011322004210241
6154503212124240
714066532352614
oct2175031005100
9482061235476
10154222725696
115a4507874a6
1225a80a66680
131170a384110
147670521344
15402969c666
hex23e8640a40

154222725696 has 112 divisors (see below), whose sum is σ = 454589083200. Its totient is φ = 45816809472.

The previous prime is 154222725617. The next prime is 154222725721. The reversal of 154222725696 is 696527222451.

154222725696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1542227256962 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 992926 + ... + 1137693.

It is an arithmetic number, because the mean of its divisors is an integer number (4058831100).

Almost surely, 2154222725696 is an apocalyptic number.

154222725696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

154222725696 is an abundant number, since it is smaller than the sum of its proper divisors (300366357504).

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

154222725696 is a wasteful number, since it uses less digits than its factorization.

154222725696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130676 (or 2130666 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The spelling of 154222725696 in words is "one hundred fifty-four billion, two hundred twenty-two million, seven hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 156 174 192 208 232 312 348 377 416 464 624 696 754 832 928 1131 1248 1392 1508 1856 2262 2496 2784 3016 4524 5568 6032 9048 12064 18096 24128 36192 72384 2130619 4261238 6391857 8522476 12783714 17044952 25567428 27698047 34089904 51134856 55396094 61787951 68179808 83094141 102269712 110792188 123575902 136359616 166188282 185363853 204539424 221584376 247151804 332376564 370727706 409078848 443168752 494303608 664753128 741455412 803243363 886337504 988607216 1329506256 1482910824 1606486726 1772675008 1977214432 2409730089 2659012512 2965821648 3212973452 3954428864 4819460178 5318025024 5931643296 6425946904 9638920356 11863286592 12851893808 19277840712 25703787616 38555681424 51407575232 77111362848 154222725696