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1072027411740 = 2232527412172823
BaseRepresentation
bin11111001100110011101…
…00000010010100011100
310210111002102201001102100
433212121310002110130
5120031003004133430
62140252123525100
7140310560436045
oct17463164022434
93714072631370
101072027411740
1138370a58745a
12153923989790
137a1267673bc
1439c5a4118cc
151cd44d51960
hexf999d0251c

1072027411740 has 72 divisors (see below), whose sum is σ = 3253004340768. Its totient is φ = 285769549440.

The previous prime is 1072027411727. The next prime is 1072027411789. The reversal of 1072027411740 is 471147202701.

It is a happy number.

It is a super-2 number, since 2×10720274117402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1072027411695 and 1072027411704.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 593032 + ... + 1579791.

It is an arithmetic number, because the mean of its divisors is an integer number (45180615844).

Almost surely, 21072027411740 is an apocalyptic number.

1072027411740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072027411740 is an abundant number, since it is smaller than the sum of its proper divisors (2180976929028).

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

1072027411740 is a wasteful number, since it uses less digits than its factorization.

1072027411740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175579 (or 2175574 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 1072027411740 in words is "one trillion, seventy-two billion, twenty-seven million, four hundred eleven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2741 5482 8223 10964 13705 16446 24669 27410 32892 41115 49338 54820 82230 98676 123345 164460 246690 493380 2172823 4345646 6518469 8691292 10864115 13036938 19555407 21728230 26073876 32592345 39110814 43456460 65184690 78221628 97777035 130369380 195554070 391108140 5955707843 11911415686 17867123529 23822831372 29778539215 35734247058 53601370587 59557078430 71468494116 89335617645 107202741174 119114156860 178671235290 214405482348 268006852935 357342470580 536013705870 1072027411740