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84930300057918 = 23719229721364433
BaseRepresentation
bin10011010011111001100000…
…010111011001100100111110
3102010201020221122020020020210
4103103321200113121210332
542112444223303323133
6500344235145253250
723614004003133330
oct2323714027314476
9363636848206223
1084930300057918
1125074813288587
129638089794226
133850b7b9ca0b3
1416d8911511450
159c437306a763
hex4d3e605d993e

84930300057918 has 128 divisors (see below), whose sum is σ = 205267548441600. Its totient is φ = 22884737144832.

The previous prime is 84930300057901. The next prime is 84930300057931. The reversal of 84930300057918 is 81975000303948.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1318085830 + ... + 1318150262.

It is an arithmetic number, because the mean of its divisors is an integer number (1603652722200).

Almost surely, 284930300057918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84930300057918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102633774220800).

84930300057918 is an abundant number, since it is smaller than the sum of its proper divisors (120337248383682).

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

84930300057918 is a wasteful number, since it uses less digits than its factorization.

84930300057918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71906.

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 84930300057918 in words is "eighty-four trillion, nine hundred thirty billion, three hundred million, fifty-seven thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 229 266 399 458 687 798 1374 1603 3206 4351 4809 7213 8702 9618 13053 14426 21639 26106 30457 43278 50491 60914 64433 91371 100982 128866 137047 151473 182742 193299 274094 302946 386598 411141 451031 822282 902062 959329 1224227 1353093 1651777 1918658 2448454 2706186 2877987 3303554 3672681 4955331 5755974 7345362 8569589 9910662 11562439 14755157 17139178 23124878 25708767 29510314 31383763 34687317 44265471 51417534 62767526 69374634 88530942 94151289 103286099 188302578 206572198 219686341 280347983 309858297 439372682 464755229 560695966 619716594 659059023 841043949 929510458 1318118046 1394265687 1682087898 1962435881 2788531374 3253286603 3924871762 5887307643 6506573206 8830349351 9759859809 11774615286 17660698702 19519719618 26491048053 52982096106 61812445457 106428947441 123624890914 185437336371 212857894882 319286842323 370874672742 638573684646 745002632087 1490005264174 2022150001379 2235007896261 4044300002758 4470015792522 6066450004137 12132900008274 14155050009653 28310100019306 42465150028959 84930300057918