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23048246144 = 2771114811579
BaseRepresentation
bin10101011101110010…
…000101001110000000
32012111021100012212002
4111131302011032000
5334200322334034
614331015523132
71444104600620
oct253562051600
965437305762
1023048246144
119858152510
1245729894a8
132234082191
14118908a880
158ed68ee7e
hex55dc85380

23048246144 has 128 divisors (see below), whose sum is σ = 57321388800. Its totient is φ = 8968089600.

The previous prime is 23048246107. The next prime is 23048246147. The reversal of 23048246144 is 44164284032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 23048246098 and 23048246107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23048246147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14595947 + ... + 14597525.

It is an arithmetic number, because the mean of its divisors is an integer number (447823350).

Almost surely, 223048246144 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 23048246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28660694400).

23048246144 is an abundant number, since it is smaller than the sum of its proper divisors (34273142656).

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

23048246144 is a wasteful number, since it uses less digits than its factorization.

23048246144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 23048246144 in words is "twenty-three billion, forty-eight million, two hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 1481 1579 2464 2962 3158 4928 5924 6316 9856 10367 11053 11848 12632 16291 17369 20734 22106 23696 25264 32582 34738 41468 44212 47392 50528 65164 69476 82936 88424 94784 101056 114037 121583 130328 138952 165872 176848 189568 202112 228074 243166 260656 277904 331744 353696 456148 486332 521312 555808 663488 707392 912296 972664 1042624 1111616 1326976 1414784 1824592 1945328 2085248 2223232 2338499 3649184 3890656 4676998 7298368 7781312 9353996 14596736 15562624 16369493 18707992 25723489 32738986 37415984 51446978 65477972 74831968 102893956 130955944 149663936 180064423 205787912 261911888 299327872 360128846 411575824 523823776 720257692 823151648 1047647552 1440515384 1646303296 2095295104 2881030768 3292606592 5762061536 11524123072 23048246144