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102537005796 = 22328326432
BaseRepresentation
bin101111101111110101…
…1101000101011100100
3100210122222110120221100
41133133223220223210
53134443433141141
6115034351520100
710256651111601
oct1373753505344
9323588416840
10102537005796
113a538515105
1217a57529030
1398912c78c4
144d69d856a8
152a01d250b6
hex17dfae8ae4

102537005796 has 81 divisors (see below), whose sum is σ = 262759814499. Its totient is φ = 33714691632.

The previous prime is 102537005777. The next prime is 102537005807. The reversal of 102537005796 is 697500735201.

The square root of 102537005796 is 320214.

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

102537005796 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 3 + 70 + 0 + 579 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 159466251 + ... + 159466893.

Almost surely, 2102537005796 is an apocalyptic number.

102537005796 is the 320214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102537005796

102537005796 is an abundant number, since it is smaller than the sum of its proper divisors (160222808703).

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

102537005796 is an frugal number, since it uses more digits than its factorization.

102537005796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 102537005796 in words is "one hundred two billion, five hundred thirty-seven million, five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 643 747 996 1286 1494 1929 2572 2988 3858 5787 6889 7716 11574 13778 20667 23148 27556 41334 53369 62001 82668 106738 124002 160107 213476 248004 320214 413449 480321 640428 826898 960642 1240347 1653796 1921284 2480694 3721041 4429627 4961388 7442082 8859254 13288881 14884164 17718508 26577762 34316267 39866643 53155524 68632534 79733286 102948801 137265068 159466572 205897602 308846403 411795204 617692806 1235385612 2848250161 5696500322 8544750483 11393000644 17089500966 25634251449 34179001932 51268502898 102537005796