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856421247702800 = 2452131282131284553
BaseRepresentation
bin1100001010111010010001110…
…0001111110101011100010000
311011022100001221021002120001002
43002232210130033311130100
51344223101203402442200
612233242253442401132
7345251251615242563
oct30256443417653420
94138301837076032
10856421247702800
1122897823652178a
12800782130601a8
132a9b423c1bb5b0
141116b01c3204da
156902736cc8bd5
hex30ae91c3f5710

856421247702800 has 120 divisors (see below), whose sum is σ = 2215844289404424. Its totient is φ = 316214363566080.

The previous prime is 856421247702799. The next prime is 856421247702851. The reversal of 856421247702800 is 8207742124658.

It can be written as a sum of positive squares in 12 ways, for example, as 15349094155264 + 841072153547536 = 3917792^2 + 29001244^2 .

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

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, 666065324 + ... + 667349876.

Almost surely, 2856421247702800 is an apocalyptic number.

856421247702800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

856421247702800 is an abundant number, since it is smaller than the sum of its proper divisors (1359423041701624).

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

856421247702800 is a wasteful number, since it uses less digits than its factorization.

856421247702800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412797 (or 1412786 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 56.

The spelling of 856421247702800 in words is "eight hundred fifty-six trillion, four hundred twenty-one billion, two hundred forty-seven million, seven hundred two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 128213 256426 512852 641065 1025704 1282130 1284553 1666769 2051408 2564260 2569106 3205325 3333538 5128520 5138212 6410650 6422765 6667076 8333845 10257040 10276424 12821300 12845530 13334152 16667690 16699189 20552848 25642600 25691060 26668304 32113825 33335380 33398378 41669225 51285200 51382120 64227650 66670760 66796756 83338450 83495945 102764240 128455300 133341520 133593512 166676900 166991890 256910600 267187024 333353800 333983780 417479725 513821200 666707600 667967560 834959450 1335935120 1669918900 3339837800 6679675600 164696393789 329392787578 658785575156 823481968945 1317571150312 1646963937890 2141053119257 2635142300624 3293927875780 4117409844725 4282106238514 6587855751560 8234819689450 8564212477028 10705265596285 13175711503120 16469639378900 17128424954056 21410531192570 32939278757800 34256849908112 42821062385140 53526327981425 65878557515600 85642124770280 107052655962850 171284249540560 214105311925700 428210623851400 856421247702800