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101745475024 = 2429419577907
BaseRepresentation
bin101111011000010000…
…0001011110111010000
3100201121211001122211211
41132300200023313100
53131333320200044
6114424034345504
710231230160654
oct1366040136720
9321554048754
10101745475024
113a171739346
121787642b294
13979631b8bb
144cd2bc2a64
1529a75c2634
hex17b080bdd0

101745475024 has 80 divisors (see below), whose sum is σ = 204996254400. Its totient is φ = 48862420992.

The previous prime is 101745475001. The next prime is 101745475049. The reversal of 101745475024 is 420574547101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112177579 + ... + 112178485.

It is an arithmetic number, because the mean of its divisors is an integer number (2562453180).

Almost surely, 2101745475024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101745475024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102498127200).

101745475024 is an abundant number, since it is smaller than the sum of its proper divisors (103250779376).

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

101745475024 is a wasteful number, since it uses less digits than its factorization.

101745475024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The spelling of 101745475024 in words is "one hundred one billion, seven hundred forty-five million, four hundred seventy-five thousand, twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 419 464 577 838 907 1154 1676 1814 2308 3352 3628 4616 6704 7256 9232 12151 14512 16733 24302 26303 33466 48604 52606 66932 97208 105212 133864 194416 210424 241763 267728 380033 420848 483526 523339 760066 967052 1046678 1520132 1934104 2093356 3040264 3868208 4186712 6080528 7011127 8373424 11020957 14022254 15176831 22041914 28044508 30353662 44083828 56089016 60707324 88167656 112178032 121414648 176335312 219279041 242829296 438558082 877116164 1754232328 3508464656 6359092189 12718184378 25436368756 50872737512 101745475024