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1054972427688 = 233282717717527
BaseRepresentation
bin11110101101000010100…
…00011011110110101000
310201212001211202002120100
433112201100123312220
5114241040420141223
62124351520225400
7136135125451344
oct17264120336650
93655054662510
101054972427688
11377458483513
1215056416b260
137863926216a
14390bd2dc624
151c697918043
hexf5a141bda8

1054972427688 has 48 divisors (see below), whose sum is σ = 2860672070880. Its totient is φ = 351232235424.

The previous prime is 1054972427633. The next prime is 1054972427711. The reversal of 1054972427688 is 8867242794501.

It is a happy number.

1054972427688 is a `hidden beast` number, since 1 + 0 + 549 + 7 + 2 + 4 + 2 + 7 + 6 + 88 = 666.

1054972427688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10549724276882 (a number of 25 digits) contains 22 as substring.

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, 8799220 + ... + 8918307.

It is an arithmetic number, because the mean of its divisors is an integer number (59597334810).

Almost surely, 21054972427688 is an apocalyptic number.

1054972427688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1054972427688 is an abundant number, since it is smaller than the sum of its proper divisors (1805699643192).

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

1054972427688 is a wasteful number, since it uses less digits than its factorization.

1054972427688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17718366 (or 17718359 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 1054972427688 in words is "one trillion, fifty-four billion, nine hundred seventy-two million, four hundred twenty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 827 1654 2481 3308 4962 6616 7443 9924 14886 19848 29772 59544 17717527 35435054 53152581 70870108 106305162 141740216 159457743 212610324 318915486 425220648 637830972 1275661944 14652394829 29304789658 43957184487 58609579316 87914368974 117219158632 131871553461 175828737948 263743106922 351657475896 527486213844 1054972427688