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4164955032 = 2337157157907
BaseRepresentation
bin1111100001000000…
…0010101110011000
3101202021002122012210
43320100002232120
532012212030112
61525141235120
7205132351020
oct37020025630
911667078183
104164955032
1118480103a7
12982a02aa0
13514b58644
142b7212a80
151959aab3c
hexf8402b98

4164955032 has 64 divisors (see below), whose sum is σ = 11975742720. Its totient is φ = 1182400128.

The previous prime is 4164955027. The next prime is 4164955037. The reversal of 4164955032 is 2305594614.

It is an interprime number because it is at equal distance from previous prime (4164955027) and next prime (4164955037).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164955037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52578 + ... + 105329.

It is an arithmetic number, because the mean of its divisors is an integer number (187120980).

Almost surely, 24164955032 is an apocalyptic number.

4164955032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4164955032 is an abundant number, since it is smaller than the sum of its proper divisors (7810787688).

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

4164955032 is a wasteful number, since it uses less digits than its factorization.

4164955032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158080 (or 158076 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 4164955032 is about 64536.4628097946. The cubic root of 4164955032 is about 1608.9286021508.

The spelling of 4164955032 in words is "four billion, one hundred sixty-four million, nine hundred fifty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 471 628 942 1099 1256 1884 2198 3297 3768 4396 6594 8792 13188 26376 157907 315814 473721 631628 947442 1105349 1263256 1894884 2210698 3316047 3789768 4421396 6632094 8842792 13264188 24791399 26528376 49582798 74374197 99165596 148748394 173539793 198331192 297496788 347079586 520619379 594993576 694159172 1041238758 1388318344 2082477516 4164955032