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542033202432 = 2834194214001
BaseRepresentation
bin1111110001100111011…
…00100100110100000000
31220211002020002122010210
413320303230210310000
532340040444434212
61053001232354120
754106042126131
oct7706354446400
91824066078123
10542033202432
11199969680627
12890719a5940
133c1625011a7
141c33d84dc88
15e175d8a53c
hex7e33b24d00

542033202432 has 144 divisors (see below), whose sum is σ = 1449838797120. Its totient is φ = 179773440000.

The previous prime is 542033202427. The next prime is 542033202457. The reversal of 542033202432 is 234202330245.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 542033202432.

It is a congruent number.

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, 135472432 + ... + 135476432.

It is an arithmetic number, because the mean of its divisors is an integer number (10068324980).

Almost surely, 2542033202432 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 542033202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724919398560).

542033202432 is an abundant number, since it is smaller than the sum of its proper divisors (907805594688).

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

542033202432 is a wasteful number, since it uses less digits than its factorization.

542033202432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 542033202432 its reverse (234202330245), we get a palindrome (776235532677).

The spelling of 542033202432 in words is "five hundred forty-two billion, thirty-three million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 419 421 768 838 842 1257 1263 1676 1684 2514 2526 3352 3368 4001 5028 5052 6704 6736 8002 10056 10104 12003 13408 13472 16004 20112 20208 24006 26816 26944 32008 40224 40416 48012 53632 53888 64016 80448 80832 96024 107264 107776 128032 160896 161664 176399 192048 256064 321792 323328 352798 384096 512128 529197 705596 768192 1024256 1058394 1411192 1536384 1676419 1684421 2116788 2822384 3072768 3352838 3368842 4233576 5029257 5053263 5644768 6705676 6737684 8467152 10058514 10106526 11289536 13411352 13475368 16934304 20117028 20213052 22579072 26822704 26950736 33868608 40234056 40426104 45158144 53645408 53901472 67737216 80468112 80852208 107290816 107802944 135474432 160936224 161704416 214581632 215605888 321872448 323408832 429163264 431211776 643744896 646817664 705772399 1287489792 1293635328 1411544798 2117317197 2823089596 4234634394 5646179192 8469268788 11292358384 16938537576 22584716768 33877075152 45169433536 67754150304 90338867072 135508300608 180677734144 271016601216 542033202432