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1117167040640 = 2757235623949
BaseRepresentation
bin10000010000011100010…
…110000011100010000000
310221210121021212210022202
4100100130112003202000
5121300424230300030
62213115222452332
7143466304110500
oct20203426034200
93853537783282
101117167040640
113a0873740792
12160620b940a8
138146b5859a1
143c0dd429a00
151e0d7b71745
hex1041c583880

1117167040640 has 96 divisors (see below), whose sum is σ = 3106764679500. Its totient is φ = 383028688896.

The previous prime is 1117167040589. The next prime is 1117167040729. The reversal of 1117167040640 is 460407617111.

It can be written as a sum of positive squares in 2 ways, for example, as 1111809971776 + 5357068864 = 1054424^2 + 73192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1117167040594 and 1117167040603.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17780615 + ... + 17843334.

Almost surely, 21117167040640 is an apocalyptic number.

1117167040640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1117167040640 is an abundant number, since it is smaller than the sum of its proper divisors (1989597638860).

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

1117167040640 is an equidigital number, since it uses as much as digits as its factorization.

1117167040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35623982 (or 35623963 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 1117167040640 in words is "one trillion, one hundred seventeen billion, one hundred sixty-seven million, forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 31360 35623949 71247898 142495796 178119745 249367643 284991592 356239490 498735286 569983184 712478980 997470572 1139966368 1246838215 1424957960 1745573501 1994941144 2279932736 2493676430 2849915920 3491147002 3989882288 4559865472 4987352860 5699831840 6982294004 7979764576 8727867505 9974705720 11399663680 13964588008 15959529152 17455735010 19949411440 22799327360 27929176016 31919058304 34911470020 39898822880 55858352032 69822940040 79797645760 111716704064 139645880080 159595291520 223433408128 279291760160 558583520320 1117167040640