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542446610552 = 2371119161928627
BaseRepresentation
bin1111110010011000101…
…01100110100001111000
31220212011000222221110122
413321030111212201320
532341412313014202
61053110241232412
754122222053460
oct7711425464170
91825130887418
10542446610552
1119a060a74230
1289168332708
133c1ca058692
141c37c704ba0
15e19c2eb9a2
hex7e4c566878

542446610552 has 128 divisors (see below), whose sum is σ = 1335667968000. Its totient is φ = 200088869760.

The previous prime is 542446610549. The next prime is 542446610627. The reversal of 542446610552 is 255016644245.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 18934463 + ... + 18963089.

It is an arithmetic number, because the mean of its divisors is an integer number (10434906000).

Almost surely, 2542446610552 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 542446610552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667833984000).

542446610552 is an abundant number, since it is smaller than the sum of its proper divisors (793221357448).

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

542446610552 is a wasteful number, since it uses less digits than its factorization.

542446610552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30289 (or 30285 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

The spelling of 542446610552 in words is "five hundred forty-two billion, four hundred forty-six million, six hundred ten thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 836 1064 1463 1619 1672 2926 3238 5852 6476 11333 11704 12952 17809 22666 28627 30761 35618 45332 57254 61522 71236 90664 114508 123044 124663 142472 200389 215327 229016 246088 249326 314897 338371 400778 430654 498652 543913 629794 676742 801556 861308 997304 1087826 1259588 1353484 1603112 1722616 2175652 2204279 2368597 2519176 2706968 3807391 4351304 4408558 4737194 5983043 7614782 8817116 9474388 11966086 15229564 17634232 18948776 23932172 30459128 41881301 46347113 47864344 83762602 92694226 167525204 185388452 324429791 335050408 370776904 509818243 648859582 880595147 1019636486 1297719164 1761190294 2039272972 2595438328 3522380588 3568727701 4078545944 6164166029 7044761176 7137455402 9686546617 12328332058 14274910804 19373093234 24656664116 28549821608 38746186468 49313328232 67805826319 77492372936 135611652638 271223305276 542446610552