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1955318398929 = 3272665872
BaseRepresentation
bin11100011101000010000…
…011101111111111010001
320220221000111112100010100
4130131002003233333101
5224013443002231204
64054132203123013
7261160420106400
oct34350203577721
96827014470110
101955318398929
11694278296655
12276b54213469
131125025c377c
146a8d0623637
1535ce04d4a39
hex1c7420effd1

1955318398929 has 27 divisors (see below), whose sum is σ = 3285516311337. Its totient is φ = 1117308019464.

The previous prime is 1955318398853. The next prime is 1955318398951. The reversal of 1955318398929 is 9298938135591.

The square root of 1955318398929 is 1398327.

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

1955318398929 is a `hidden beast` number, since 1 + 9 + 5 + 531 + 8 + 3 + 9 + 89 + 2 + 9 = 666.

It is not a de Polignac number, because 1955318398929 - 223 = 1955310010321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1955318398129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29331574 + ... + 29398160.

Almost surely, 21955318398929 is an apocalyptic number.

1955318398929 is the 1398327-th square number.

1955318398929 is the 699164-th centered octagonal number.

It is an amenable number.

1955318398929 is a deficient number, since it is larger than the sum of its proper divisors (1330197912408).

1955318398929 is an frugal number, since it uses more digits than its factorization.

1955318398929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133194 (or 66597 counting only the distinct ones).

The product of its digits is 188956800, while the sum is 72.

The spelling of 1955318398929 in words is "one trillion, nine hundred fifty-five billion, three hundred eighteen million, three hundred ninety-eight thousand, nine hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 66587 199761 466109 599283 1398327 3262763 4194981 9788289 29364867 4433828569 13301485707 31036799983 39904457121 93110399949 217257599881 279331199847 651772799643 1955318398929