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21153004432 = 2472731392659
BaseRepresentation
bin10011101100110100…
…010011101110010000
32000121012002221222121
4103230310103232100
5321310132120212
613414554144024
71346122366600
oct235464235620
960535087877
1021153004432
118a7535734a
124124122014
131cc1526391
1410494a0c00
1583c0c1d07
hex4ecd13b90

21153004432 has 120 divisors (see below), whose sum is σ = 48694279200. Its totient is φ = 8873722368.

The previous prime is 21153004427. The next prime is 21153004447. The reversal of 21153004432 is 23440035112.

It is a junction number, because it is equal to n+sod(n) for n = 21153004397 and 21153004406.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7953919 + ... + 7956577.

It is an arithmetic number, because the mean of its divisors is an integer number (405785660).

Almost surely, 221153004432 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 21153004432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24347139600).

21153004432 is an abundant number, since it is smaller than the sum of its proper divisors (27541274768).

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

21153004432 is a wasteful number, since it uses less digits than its factorization.

21153004432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 21153004432 its reverse (23440035112), we get a palindrome (44593039544).

The spelling of 21153004432 in words is "twenty-one billion, one hundred fifty-three million, four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 139 146 196 278 292 392 511 556 584 784 973 1022 1112 1168 1946 2044 2224 2659 3577 3892 4088 5318 6811 7154 7784 8176 10147 10636 13622 14308 15568 18613 20294 21272 27244 28616 37226 40588 42544 54488 57232 71029 74452 81176 108976 130291 142058 148904 162352 194107 260582 284116 297808 369601 388214 497203 521164 568232 739202 776428 994406 1042328 1136464 1358749 1478404 1552856 1988812 2084656 2587207 2717498 2956808 3105712 3977624 5174414 5434996 5913616 7955248 9511243 10348828 10869992 18110449 19022486 20697656 21739984 26980873 36220898 38044972 41395312 53961746 72441796 76089944 107923492 144883592 152179888 188866111 215846984 289767184 377732222 431693968 755464444 1322062777 1510928888 2644125554 3021857776 5288251108 10576502216 21153004432