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1257422556540 = 2235371932934749
BaseRepresentation
bin10010010011000100001…
…110011000110101111100
311110012121221101012222210
4102103010032120311330
5131100200133302130
62401352453140420
7156563050244223
oct22230416306574
94405557335883
101257422556540
114452a7285797
1218384432a710
139176106bc07
1444c0696bcba
1522a960165b0
hex124c4398d7c

1257422556540 has 96 divisors (see below), whose sum is σ = 3634676136000. Its totient is φ = 324559650816.

The previous prime is 1257422556497. The next prime is 1257422556547. The reversal of 1257422556540 is 456552247521.

It is a happy number.

It is a super-2 number, since 2×12574225565402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1257422556540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257422556547) 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 31 ways as a sum of consecutive naturals, for example, 1038915 + ... + 1895834.

It is an arithmetic number, because the mean of its divisors is an integer number (37861209750).

Almost surely, 21257422556540 is an apocalyptic number.

1257422556540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257422556540 is an abundant number, since it is smaller than the sum of its proper divisors (2377253579460).

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

1257422556540 is a wasteful number, since it uses less digits than its factorization.

1257422556540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934991 (or 2934989 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 48.

The spelling of 1257422556540 in words is "one trillion, two hundred fifty-seven billion, four hundred twenty-two million, five hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 193 222 370 386 444 555 579 740 772 965 1110 1158 1930 2220 2316 2895 3860 5790 7141 11580 14282 21423 28564 35705 42846 71410 85692 107115 142820 214230 428460 2934749 5869498 8804247 11738996 14673745 17608494 29347490 35216988 44021235 58694980 88042470 108585713 176084940 217171426 325757139 434342852 542928565 566406557 651514278 1085857130 1132813114 1303028556 1628785695 1699219671 2171714260 2265626228 2832032785 3257571390 3398439342 5664065570 6515142780 6796878684 8496098355 11328131140 16992196710 20957042609 33984393420 41914085218 62871127827 83828170436 104785213045 125742255654 209570426090 251484511308 314355639135 419140852180 628711278270 1257422556540