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2007551190928 = 242811232936217
BaseRepresentation
bin11101001101101011011…
…000000010011110010000
321002220211200202002120011
4131031223120002132100
5230342431101102203
64134131205124304
7265016663365663
oct35155330023620
97086750662504
102007551190928
11704441346348
122850b09b9694
13117407b0689a
146d2476c96da
153734adc276d
hex1d36b602790

2007551190928 has 40 divisors (see below), whose sum is σ = 3903896931480. Its totient is φ = 1000094699520.

The previous prime is 2007551190907. The next prime is 2007551190949. The reversal of 2007551190928 is 8290911557002.

It is an interprime number because it is at equal distance from previous prime (2007551190907) and next prime (2007551190949).

It can be written as a sum of positive squares in 4 ways, for example, as 23431037184 + 1984120153744 = 153072^2 + 1408588^2 .

It is a super-2 number, since 2×20075511909282 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55413076 + ... + 55449292.

It is an arithmetic number, because the mean of its divisors is an integer number (97597423287).

Almost surely, 22007551190928 is an apocalyptic number.

It is an amenable number.

2007551190928 is a deficient number, since it is larger than the sum of its proper divisors (1896345740552).

2007551190928 is a wasteful number, since it uses less digits than its factorization.

2007551190928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48835 (or 48829 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 49.

The spelling of 2007551190928 in words is "two trillion, seven billion, five hundred fifty-one million, one hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 281 562 1124 2248 4496 12329 24658 36217 49316 72434 98632 144868 197264 289736 579472 3464449 6928898 10176977 13857796 20353954 27715592 40707908 55431184 81415816 162831632 446519393 893038786 1786077572 3572155144 7144310288 125471949433 250943898866 501887797732 1003775595464 2007551190928