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23432431232 = 27753975087
BaseRepresentation
bin10101110100101011…
…101000011010000000
32020111001020211201102
4111310223220122000
5340442200244412
614433102153532
71456451244020
oct256453503200
966431224642
1023432431232
119a34aa6451
12465b5828a8
132295847232
1411c40d5a80
1592227c8c2
hex574ae8680

23432431232 has 128 divisors (see below), whose sum is σ = 54928419840. Its totient is φ = 9749495808.

The previous prime is 23432431213. The next prime is 23432431277. The reversal of 23432431232 is 23213423432.

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 = 23432431195 and 23432431204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4603793 + ... + 4608879.

It is an arithmetic number, because the mean of its divisors is an integer number (429128280).

Almost surely, 223432431232 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 23432431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27464209920).

23432431232 is an abundant number, since it is smaller than the sum of its proper divisors (31495988608).

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

23432431232 is an equidigital number, since it uses as much as digits as its factorization.

23432431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258 (or 5246 counting only the distinct ones).

The product of its digits is 20736, while the sum is 29.

Adding to 23432431232 its reverse (23213423432), we get a palindrome (46645854664).

The spelling of 23432431232 in words is "twenty-three billion, four hundred thirty-two million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 97 106 112 128 194 212 224 371 388 424 448 679 742 776 848 896 1358 1484 1552 1696 2716 2968 3104 3392 5087 5141 5432 5936 6208 6784 10174 10282 10864 11872 12416 20348 20564 21728 23744 35609 35987 40696 41128 43456 47488 71218 71974 81392 82256 86912 142436 143948 162784 164512 269611 284872 287896 325568 329024 493439 539222 569744 575792 651136 658048 986878 1078444 1139488 1151584 1887277 1973756 2156888 2278976 2303168 3454073 3774554 3947512 4313776 4557952 4606336 6908146 7549108 7895024 8627552 13816292 15098216 15790048 17255104 26152267 27632584 30196432 31580096 34510208 52304534 55265168 60392864 63160192 104609068 110530336 120785728 183065869 209218136 221060672 241571456 366131738 418436272 442121344 732263476 836872544 1464526952 1673745088 2929053904 3347490176 5858107808 11716215616 23432431232