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6142532181920 = 25564759336671
BaseRepresentation
bin101100101100010101101…
…1100101101111110100000
3210202012221121222121012222
41121120223130231332200
51301114401214310140
621021501302210212
71202532450033101
oct131305334557640
923665847877188
106142532181920
111a59040310322
12832569723968
1335731370b394
1417342b8483a8
15a9bac1405b5
hex5962b72dfa0

6142532181920 has 48 divisors (see below), whose sum is σ = 14534161786368. Its totient is φ = 2453215284480.

The previous prime is 6142532181881. The next prime is 6142532181931. The reversal of 6142532181920 is 291812352416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29564816 + ... + 29771855.

It is an arithmetic number, because the mean of its divisors is an integer number (302795037216).

Almost surely, 26142532181920 is an apocalyptic number.

It is an amenable number.

6142532181920 is an abundant number, since it is smaller than the sum of its proper divisors (8391629604448).

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

6142532181920 is a wasteful number, since it uses less digits than its factorization.

6142532181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59337333 (or 59337325 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 6142532181920 in words is "six trillion, one hundred forty-two billion, five hundred thirty-two million, one hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 647 1294 2588 3235 5176 6470 10352 12940 20704 25880 51760 103520 59336671 118673342 237346684 296683355 474693368 593366710 949386736 1186733420 1898773472 2373466840 4746933680 9493867360 38390826137 76781652274 153563304548 191954130685 307126609096 383908261370 614253218192 767816522740 1228506436384 1535633045480 3071266090960 6142532181920