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4992472765224 = 233374770253191
BaseRepresentation
bin100100010100110011010…
…0100001101001100101000
3122200021110000021222111000
41020221212210031030220
51123244041011441344
614341302121435000
71023460062215220
oct110514644151450
918607400258430
104992472765224
1116553287a467a
126876a903ba60
132a2a3278baa9
141338cbbc5080
1589ceb9aea69
hex48a6690d328

4992472765224 has 128 divisors (see below), whose sum is σ = 16186335436800. Its totient is φ = 1396071391680.

The previous prime is 4992472765109. The next prime is 4992472765229. The reversal of 4992472765224 is 4225672742994.

4992472765224 is a `hidden beast` number, since 4 + 9 + 92 + 472 + 7 + 6 + 52 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4992472765229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35055532 + ... + 35197659.

It is an arithmetic number, because the mean of its divisors is an integer number (126455745600).

Almost surely, 24992472765224 is an apocalyptic number.

It is an amenable number.

4992472765224 is an abundant number, since it is smaller than the sum of its proper divisors (11193862671576).

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

4992472765224 is a wasteful number, since it uses less digits than its factorization.

4992472765224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70253260 (or 70253250 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 4992472765224 in words is "four trillion, nine hundred ninety-two billion, four hundred seventy-two million, seven hundred sixty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 188 189 216 252 282 329 376 378 423 504 564 658 756 846 987 1128 1269 1316 1512 1692 1974 2538 2632 2961 3384 3948 5076 5922 7896 8883 10152 11844 17766 23688 35532 71064 70253191 140506382 210759573 281012764 421519146 491772337 562025528 632278719 843038292 983544674 1264557438 1475317011 1686076584 1896836157 1967089348 2529114876 2950634022 3301899977 3793672314 3934178696 4425951033 5058229752 5901268044 6603799954 7587344628 8851902066 9905699931 11802536088 13207599908 13277853099 15174689256 17703804132 19811399862 23113299839 26415199816 26555706198 29717099793 35407608264 39622799724 46226599678 53111412396 59434199586 69339899517 79245599448 89151299379 92453199356 106222824792 118868399172 138679799034 178302598758 184906398712 208019698551 237736798344 277359598068 356605197516 416039397102 554719196136 624059095653 713210395032 832078794204 1248118191306 1664157588408 2496236382612 4992472765224