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514924021808 = 24729230717807
BaseRepresentation
bin1110111111000111101…
…11010000100000110000
31211020002221101120102222
413133203313100200300
531414031022144213
61032315224500212
752126203653120
oct7374367204060
91736087346388
10514924021808
11189418205a19
128396701a668
1339732014201
141accb30ac80
15d5dae3a808
hex77e3dd0830

514924021808 has 120 divisors (see below), whose sum is σ = 1184774502912. Its totient is φ = 212366036736.

The previous prime is 514924021783. The next prime is 514924021823. The reversal of 514924021808 is 808120429415.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28908041 + ... + 28925847.

Almost surely, 2514924021808 is an apocalyptic number.

514924021808 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514924021808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592387251456).

514924021808 is an abundant number, since it is smaller than the sum of its proper divisors (669850481104).

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

514924021808 is a wasteful number, since it uses less digits than its factorization.

514924021808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18187 (or 18152 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The spelling of 514924021808 in words is "five hundred fourteen billion, nine hundred twenty-four million, twenty-one thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 307 406 464 614 812 841 1228 1624 1682 2149 2456 3248 3364 4298 4912 5887 6728 8596 8903 11774 13456 17192 17806 17807 23548 34384 35612 35614 47096 62321 71224 71228 94192 124642 124649 142448 142456 249284 249298 258187 284912 498568 498596 516374 516403 997136 997192 1032748 1032806 1807309 1994384 2065496 2065612 3614618 3614821 4130992 4131224 5466749 7229236 7229642 8262448 10933498 14458472 14459284 14975687 21866996 28916944 28918568 29951374 38267243 43733992 57837136 59902748 76534486 87467984 104829809 119805496 153068972 158535721 209659618 239610992 306137944 317071442 419319236 612275888 634142884 838638472 1109750047 1268285768 1677276944 2219500094 2536571536 4439000188 4597535909 8878000376 9195071818 17756000752 18390143636 32182751363 36780287272 64365502726 73560574544 128731005452 257462010904 514924021808