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4216913421952 = 277112318602279
BaseRepresentation
bin111101010111010011101…
…000000110011010000000
3112221010120221120020120211
4331113103220012122000
51023042214314000302
612545120121243504
7613443021450160
oct75272350063200
915833527506524
104216913421952
111386423768040
12581323933594
132478651b679a
141081578045a0
1574a59203ad7
hex3d5d3a06680

4216913421952 has 128 divisors (see below), whose sum is σ = 10929211545600. Its totient is φ = 1571520445440.

The previous prime is 4216913421803. The next prime is 4216913421961. The reversal of 4216913421952 is 2591243196124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4216913421896 and 4216913421905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9074452 + ... + 9527827.

It is an arithmetic number, because the mean of its divisors is an integer number (85384465200).

Almost surely, 24216913421952 is an apocalyptic number.

It is an amenable number.

4216913421952 is an abundant number, since it is smaller than the sum of its proper divisors (6712298123648).

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

4216913421952 is a wasteful number, since it uses less digits than its factorization.

4216913421952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18602334 (or 18602322 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The spelling of 4216913421952 in words is "four trillion, two hundred sixteen billion, nine hundred thirteen million, four hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 112 128 154 161 176 184 224 253 308 322 352 368 448 506 616 644 704 736 896 1012 1232 1288 1408 1472 1771 2024 2464 2576 2944 3542 4048 4928 5152 7084 8096 9856 10304 14168 16192 20608 28336 32384 56672 113344 226688 18602279 37204558 74409116 130215953 148818232 204625069 260431906 297636464 409250138 427852417 520863812 595272928 818500276 855704834 1041727624 1190545856 1432375483 1637000552 1711409668 2083455248 2381091712 2864750966 2994966919 3274001104 3422819336 4166910496 4706376587 5729501932 5989933838 6548002208 6845638672 8333820992 9412753174 11459003864 11979867676 13096004416 13691277344 16667641984 18825506348 22918007728 23959735352 26192008832 27382554688 32944636109 37651012696 45836015456 47919470704 54765109376 65889272218 75302025392 91672030912 95838941408 131778544436 150604050784 183344061824 191677882816 263557088872 301208101568 383355765632 527114177744 602416203136 1054228355488 2108456710976 4216913421952