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23428788432 = 24371921117393
BaseRepresentation
bin10101110100011101…
…101111000011010000
32020110210101202201220
4111310131233003100
5340440232212212
614432452125040
71456405262430
oct256435570320
966423352656
1023428788432
119a32a38575
12465a306780
132294b7012a
1411c38282c0
15921cad38c
hex57476f0d0

23428788432 has 160 divisors (see below), whose sum is σ = 73160555520. Its totient is φ = 6311208960.

The previous prime is 23428788401. The next prime is 23428788433. The reversal of 23428788432 is 23488782432.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23428788433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1338328 + ... + 1355720.

It is an arithmetic number, because the mean of its divisors is an integer number (457253472).

Almost surely, 223428788432 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 23428788432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36580277760).

23428788432 is an abundant number, since it is smaller than the sum of its proper divisors (49731767088).

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

23428788432 is a wasteful number, since it uses less digits than its factorization.

23428788432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17641 (or 17635 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 51.

The spelling of 23428788432 in words is "twenty-three billion, four hundred twenty-eight million, seven hundred eighty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 211 228 266 304 336 399 422 456 532 633 798 844 912 1064 1266 1477 1596 1688 2128 2532 2954 3192 3376 4009 4431 5064 5908 6384 8018 8862 10128 11816 12027 16036 17393 17724 23632 24054 28063 32072 34786 35448 48108 52179 56126 64144 69572 70896 84189 96216 104358 112252 121751 139144 168378 192432 208716 224504 243502 278288 330467 336756 365253 417432 449008 487004 660934 673512 730506 834864 974008 991401 1321868 1347024 1461012 1948016 1982802 2313269 2643736 2922024 3669923 3965604 4626538 5287472 5844048 6939807 7339846 7931208 9253076 11009769 13879614 14679692 15862416 18506152 22019538 25689461 27759228 29359384 37012304 44039076 51378922 55518456 58718768 69728537 77068383 88078152 102757844 111036912 139457074 154136766 176156304 205515688 209185611 278914148 308273532 411031376 418371222 488099759 557828296 616547064 836742444 976199518 1115656592 1233094128 1464299277 1673484888 1952399036 2928598554 3346969776 3904798072 5857197108 7809596144 11714394216 23428788432