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3955403664 = 243417472
BaseRepresentation
bin1110101111000010…
…1010101110010000
3101012122210022210000
43223300222232100
531100040404124
61452254010000
7200006243052
oct35360525620
911178708700
103955403664
11174a7a4353
129247a6900
134b0608a54
142974658d2
151823b66c9
hexebc2ab90

3955403664 has 75 divisors (see below), whose sum is σ = 11454642507. Its totient is φ = 1317713184.

The previous prime is 3955403611. The next prime is 3955403687. The reversal of 3955403664 is 4663045593.

The square root of 3955403664 is 62892.

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

3955403664 is a `hidden beast` number, since 3 + 9 + 554 + 0 + 36 + 64 = 666.

3955403664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2263239 + ... + 2264985.

Almost surely, 23955403664 is an apocalyptic number.

3955403664 is the 62892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3955403664

3955403664 is an abundant number, since it is smaller than the sum of its proper divisors (7499238843).

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

3955403664 is an frugal number, since it uses more digits than its factorization.

3955403664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The cubic root of 3955403664 is about 1581.4796351257.

The spelling of 3955403664 in words is "three billion, nine hundred fifty-five million, four hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1747 3494 5241 6988 10482 13976 15723 20964 27952 31446 41928 47169 62892 83856 94338 125784 141507 188676 251568 283014 377352 566028 754704 1132056 2264112 3052009 6104018 9156027 12208036 18312054 24416072 27468081 36624108 48832144 54936162 73248216 82404243 109872324 146496432 164808486 219744648 247212729 329616972 439489296 494425458 659233944 988850916 1318467888 1977701832 3955403664