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1692972112820 = 225277730482033
BaseRepresentation
bin11000101000101101000…
…000000101101110110100
312222211212010201011102012
4120220231000011232310
5210214201330102240
63333423551503352
7233212266344402
oct30505500055664
95884763634365
101692972112820
115a2a9269296a
12234138b27b58
13c3853717451
145bd24212472
152e088846b65
hex18a2d005bb4

1692972112820 has 24 divisors (see below), whose sum is σ = 3556521798984. Its totient is φ = 676944966656.

The previous prime is 1692972112801. The next prime is 1692972112861. The reversal of 1692972112820 is 282112792961.

It can be written as a sum of positive squares in 4 ways, for example, as 2821309456 + 1690150803364 = 53116^2 + 1300058^2 .

It is a super-3 number, since 3×16929721128203 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15185477 + ... + 15296556.

It is an arithmetic number, because the mean of its divisors is an integer number (148188408291).

Almost surely, 21692972112820 is an apocalyptic number.

1692972112820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1692972112820 is an abundant number, since it is smaller than the sum of its proper divisors (1863549686164).

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

1692972112820 is a wasteful number, since it uses less digits than its factorization.

1692972112820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30484819 (or 30484817 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 50.

The spelling of 1692972112820 in words is "one trillion, six hundred ninety-two billion, nine hundred seventy-two million, one hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 2777 5554 11108 13885 27770 55540 30482033 60964066 121928132 152410165 304820330 609640660 84648605641 169297211282 338594422564 423243028205 846486056410 1692972112820