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23485458432 = 21137615023
BaseRepresentation
bin10101110111110101…
…111010100000000000
32020121202000220100210
4111313311322200000
5341044234132212
614442234514120
71460664050202
oct256765724000
966552026323
1023485458432
119a61a24587
124675295940
1322a3822487
1411cb17a772
15926c5453c
hex577d7a800

23485458432 has 96 divisors (see below), whose sum is σ = 62707357440. Its totient is φ = 7816642560.

The previous prime is 23485458427. The next prime is 23485458439.

23485458432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×234854584322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (23485458439) by changing a digit.

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, 4673073 + ... + 4678095.

It is an arithmetic number, because the mean of its divisors is an integer number (653201640).

Almost surely, 223485458432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23485458432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31353678720).

23485458432 is an abundant number, since it is smaller than the sum of its proper divisors (39221899008).

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

23485458432 is an equidigital number, since it uses as much as digits as its factorization.

23485458432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5789 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 23485458432 in words is "twenty-three billion, four hundred eighty-five million, four hundred fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 761 768 1024 1522 1536 2048 2283 3044 3072 4566 5023 6088 6144 9132 10046 12176 15069 18264 20092 24352 30138 36528 40184 48704 60276 73056 80368 97408 120552 146112 160736 194816 241104 292224 321472 389632 482208 584448 642944 779264 964416 1168896 1285888 1558528 1928832 2337792 2571776 3822503 3857664 4675584 5143552 7645006 7715328 10287104 11467509 15290012 15430656 22935018 30580024 30861312 45870036 61160048 91740072 122320096 183480144 244640192 366960288 489280384 733920576 978560768 1467841152 1957121536 2935682304 3914243072 5871364608 7828486144 11742729216 23485458432