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125270692096 = 2811220112
BaseRepresentation
bin111010010101010110…
…1110001000100000000
3102222100022220111210211
41310222231301010000
54023023244121341
6133314253403504
712023216212444
oct1645255610400
9388308814724
10125270692096
1149144049100
1220340a99594
13ba75151aa4
1460c534c824
1533d2a7c181
hex1d2ab71100

125270692096 has 81 divisors (see below), whose sum is σ = 274987337079. Its totient is φ = 56912908800.

The previous prime is 125270692091. The next prime is 125270692109. The reversal of 125270692096 is 690296072521.

The square root of 125270692096 is 353936.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125270692091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62291731 + ... + 62293741.

Almost surely, 2125270692096 is an apocalyptic number.

125270692096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125270692096 is the 353936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125270692096

125270692096 is an abundant number, since it is smaller than the sum of its proper divisors (149716644983).

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

125270692096 is an frugal number, since it uses more digits than its factorization.

125270692096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 125270692096 by its sum of digits (49), we get a square (6138263912704 = 24775522).

The spelling of 125270692096 in words is "one hundred twenty-five billion, two hundred seventy million, six hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2011 2816 3872 4022 7744 8044 15488 16088 22121 30976 32176 44242 64352 88484 128704 176968 243331 257408 353936 486662 514816 707872 973324 1415744 1946648 2831488 3893296 4044121 5662976 7786592 8088242 15573184 16176484 31146368 32352968 44485331 62292736 64705936 88970662 129411872 177941324 258823744 355882648 489338641 517647488 711765296 978677282 1035294976 1423530592 1957354564 2847061184 3914709128 5694122368 7829418256 11388244736 15658836512 31317673024 62635346048 125270692096