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1006242620000 = 255450312131
BaseRepresentation
bin11101010010010001011…
…10111110001001100000
310120012021210000101020012
432221020232332021200
5112441241102320000
62050132251304052
7132461426101232
oct16511056761140
93505253011205
101006242620000
113588217a9782
1214302474b028
1373b716c1b27
14369b9570252
151b294826735
hexea48bbe260

1006242620000 has 60 divisors (see below), whose sum is σ = 2475507830796. Its totient is φ = 402497040000.

The previous prime is 1006242619997. The next prime is 1006242620003. The reversal of 1006242620000 is 262426001.

It is an interprime number because it is at equal distance from previous prime (1006242619997) and next prime (1006242620003).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006242620003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 25136066 + ... + 25176065.

Almost surely, 21006242620000 is an apocalyptic number.

1006242620000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006242620000 is an abundant number, since it is smaller than the sum of its proper divisors (1469265210796).

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

1006242620000 is an frugal number, since it uses more digits than its factorization.

1006242620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50312161 (or 50312138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The spelling of 1006242620000 in words is "one trillion, six billion, two hundred forty-two million, six hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 50312131 100624262 201248524 251560655 402497048 503121310 804994096 1006242620 1257803275 1609988192 2012485240 2515606550 4024970480 5031213100 6289016375 8049940960 10062426200 12578032750 20124852400 25156065500 31445081875 40249704800 50312131000 62890163750 100624262000 125780327500 201248524000 251560655000 503121310000 1006242620000