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4274101680 = 2435194192237
BaseRepresentation
bin1111111011000001…
…1001110110110000
3102000212110212021020
43332300121312300
532223132223210
61544040455440
7210626156562
oct37660316660
912025425236
104274101680
1118a3689942
129b347a580
13531652464
142c7905332
151a036a770
hexfec19db0

4274101680 has 160 divisors (see below), whose sum is σ = 13986604800. Its totient is φ = 1076714496.

The previous prime is 4274101679. The next prime is 4274101691. The reversal of 4274101680 is 861014724.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1909522 + ... + 1911758.

It is an arithmetic number, because the mean of its divisors is an integer number (87416280).

Almost surely, 24274101680 is an apocalyptic number.

4274101680 is a gapful number since it is divisible by the number (40) 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 4274101680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993302400).

4274101680 is an abundant number, since it is smaller than the sum of its proper divisors (9712503120).

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

4274101680 is a wasteful number, since it uses less digits than its factorization.

4274101680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4274101680 is about 65376.6141674529. The cubic root of 4274101680 is about 1622.8620948841.

The spelling of 4274101680 in words is "four billion, two hundred seventy-four million, one hundred one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 419 456 570 760 838 912 1140 1257 1520 1676 2095 2237 2280 2514 3352 4190 4474 4560 5028 6285 6704 6711 7961 8380 8948 10056 11185 12570 13422 15922 16760 17896 20112 22370 23883 25140 26844 31844 33520 33555 35792 39805 42503 44740 47766 50280 53688 63688 67110 79610 85006 89480 95532 100560 107376 119415 127376 127509 134220 159220 170012 178960 191064 212515 238830 255018 268440 318440 340024 382128 425030 477660 510036 536880 636880 637545 680048 850060 937303 955320 1020072 1275090 1700120 1874606 1910640 2040144 2550180 2811909 3400240 3749212 4686515 5100360 5623818 7498424 9373030 10200720 11247636 14059545 14996848 17808757 18746060 22495272 28119090 35617514 37492120 44990544 53426271 56238180 71235028 74984240 89043785 106852542 112476360 142470056 178087570 213705084 224952720 267131355 284940112 356175140 427410168 534262710 712350280 854820336 1068525420 1424700560 2137050840 4274101680