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1126408632976 = 24112241212
BaseRepresentation
bin10000011001000011001…
…011111011101010010000
310222200110100120022201101
4100121003023323222100
5121423341102223401
62221244234114144
7144244312255414
oct20310313735220
93880410508641
101126408632976
113a4786342900
1216237bb7b954
13822b20c3813
143c73896cd44
151e479171101
hex106432fba90

1126408632976 has 45 divisors (see below), whose sum is σ = 2398954203849. Its totient is φ = 511982697600.

The previous prime is 1126408632959. The next prime is 1126408632989. The reversal of 1126408632976 is 6792368046211.

The square root of 1126408632976 is 1061324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 320722872976 + 805685760000 = 566324^2 + 897600^2 .

It is a super-2 number, since 2×11264086329762 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46686196 + ... + 46710316.

Almost surely, 21126408632976 is an apocalyptic number.

1126408632976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1126408632976 is the 1061324-th square number.

It is an amenable number.

1126408632976 is an abundant number, since it is smaller than the sum of its proper divisors (1272545570873).

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

1126408632976 is an frugal number, since it uses more digits than its factorization.

1126408632976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48272 (or 24134 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 1126408632976 in words is "one trillion, one hundred twenty-six billion, four hundred eight million, six hundred thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 24121 48242 96484 192968 265331 385936 530662 1061324 2122648 2918641 4245296 5837282 11674564 23349128 46698256 581822641 1163645282 2327290564 4654581128 6400049051 9309162256 12800098102 25600196204 51200392408 70400539561 102400784816 140801079122 281602158244 563204316488 1126408632976