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1166624260640 = 2558981925861
BaseRepresentation
bin10000111110100000001…
…110011000001000100000
311010112021001100212202122
4100332200032120020200
5123103221302320030
62251534554403412
7150200015412326
oct20764016301040
94115231325678
101166624260640
1140a842a88123
1216a124130568
1386020a425c7
1440671a29d16
152052ea4c8e5
hex10fa0398220

1166624260640 has 48 divisors (see below), whose sum is σ = 2787117825240. Its totient is φ = 461406443520.

The previous prime is 1166624260583. The next prime is 1166624260657. The reversal of 1166624260640 is 460624266611.

It can be written as a sum of positive squares in 4 ways, for example, as 889935636496 + 276688624144 = 943364^2 + 526012^2 .

It is a super-2 number, since 2×11666242606402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1166624260591 and 1166624260600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40948691 + ... + 40977170.

Almost surely, 21166624260640 is an apocalyptic number.

1166624260640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166624260640 is an abundant number, since it is smaller than the sum of its proper divisors (1620493564600).

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

1166624260640 is an equidigital number, since it uses as much as digits as its factorization.

1166624260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81925965 (or 81925957 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 1166624260640 in words is "one trillion, one hundred sixty-six billion, six hundred twenty-four million, two hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 7120 14240 81925861 163851722 327703444 409629305 655406888 819258610 1310813776 1638517220 2621627552 3277034440 6554068880 7291401629 13108137760 14582803258 29165606516 36457008145 58331213032 72914016290 116662426064 145828032580 233324852128 291656065160 583312130320 1166624260640