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1945662316900 = 22521394872
BaseRepresentation
bin11100010100000010100…
…000101110000101100100
320220000002112220112202121
4130110002200232011210
5223334204023120100
64045454103515324
7260366216550631
oct34240240560544
96800075815677
101945662316900
11690172722275
122750ba458b44
13111623c40073
146a256027188
153592790d51a
hex1c50282e164

1945662316900 has 27 divisors (see below), whose sum is σ = 4222117496569. Its totient is φ = 778259347280.

The previous prime is 1945662316877. The next prime is 1945662316987. The reversal of 1945662316900 is 96132665491.

It is a happy number.

The square root of 1945662316900 is 1394870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 700438434084 + 1245223882816 = 836922^2 + 1115896^2 .

It is a super-2 number, since 2×19456623169002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13878957 + ... + 14018443.

Almost surely, 21945662316900 is an apocalyptic number.

1945662316900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1945662316900 is the 1394870-th square number.

It is an amenable number.

1945662316900 is an abundant number, since it is smaller than the sum of its proper divisors (2276455179669).

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

1945662316900 is an frugal number, since it uses more digits than its factorization.

1945662316900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278988 (or 139494 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 1945662316900 in words is "one trillion, nine hundred forty-five billion, six hundred sixty-two million, three hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139487 278974 557948 697435 1394870 2789740 3487175 6974350 13948700 19456623169 38913246338 77826492676 97283115845 194566231690 389132463380 486415579225 972831158450 1945662316900