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4921344432 = 2433194712757
BaseRepresentation
bin1001001010101010…
…11100000110110000
3110200222101012102000
410211111130012300
540034331010212
62132201254000
7232645510644
oct44525340660
913628335360
104921344432
1120a5a74a04
12b54194300
1360577c434
14349868c24
151dc0bb1dc
hex12555c1b0

4921344432 has 160 divisors (see below), whose sum is σ = 15187123200. Its totient is φ = 1520923392.

The previous prime is 4921344427. The next prime is 4921344487. The reversal of 4921344432 is 2344431294.

4921344432 is a `hidden beast` number, since 4 + 9 + 213 + 4 + 4 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379398 + ... + 392154.

It is an arithmetic number, because the mean of its divisors is an integer number (94919520).

Almost surely, 24921344432 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 4921344432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593561600).

4921344432 is an abundant number, since it is smaller than the sum of its proper divisors (10265778768).

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

4921344432 is a wasteful number, since it uses less digits than its factorization.

4921344432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12840 (or 12828 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 4921344432 is about 70152.2945597648. The cubic root of 4921344432 is about 1700.9619045308.

The spelling of 4921344432 in words is "four billion, nine hundred twenty-one million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 47 48 54 57 72 76 94 108 114 141 144 152 171 188 216 228 282 304 342 376 423 432 456 513 564 684 752 846 893 912 1026 1128 1269 1368 1692 1786 2052 2256 2538 2679 2736 3384 3572 4104 5076 5358 6768 7144 8037 8208 10152 10716 12757 14288 16074 20304 21432 24111 25514 32148 38271 42864 48222 51028 64296 76542 96444 102056 114813 128592 153084 192888 204112 229626 242383 306168 344439 385776 459252 484766 599579 612336 688878 727149 918504 969532 1199158 1377756 1454298 1798737 1837008 1939064 2181447 2398316 2755512 2908596 3597474 3878128 4362894 4796632 5396211 5511024 5817192 6544341 7194948 8725788 9593264 10792422 11392001 11634384 13088682 14389896 16188633 17451576 21584844 22784002 26177364 28779792 32377266 34176003 34903152 43169688 45568004 52354728 64754532 68352006 86339376 91136008 102528009 104709456 129509064 136704012 182272016 205056018 259018128 273408024 307584027 410112036 546816048 615168054 820224072 1230336108 1640448144 2460672216 4921344432