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102473577472 = 210735294051
BaseRepresentation
bin101111101101111100…
…1101011010000000000
3100210111120010002122011
41133123321223100000
53134331213434342
6115024204222304
710255251015430
oct1373371532000
9323446102564
10102473577472
113a505732502
1217a3a23a994
13988111a356
144d617942c0
1529eb496717
hex17dbe6b400

102473577472 has 88 divisors (see below), whose sum is σ = 234235098560. Its totient is φ = 43893964800.

The previous prime is 102473577467. The next prime is 102473577491. The reversal of 102473577472 is 274775374201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25293847 + ... + 25297897.

Almost surely, 2102473577472 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 102473577472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117117549280).

102473577472 is an abundant number, since it is smaller than the sum of its proper divisors (131761521088).

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

102473577472 is an equidigital number, since it uses as much as digits as its factorization.

102473577472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 49.

The spelling of 102473577472 in words is "one hundred two billion, four hundred seventy-three million, five hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3529 3584 4051 7058 7168 8102 14116 16204 24703 28232 28357 32408 49406 56464 56714 64816 98812 112928 113428 129632 197624 225856 226856 259264 395248 451712 453712 518528 790496 903424 907424 1037056 1580992 1806848 1814848 2074112 3161984 3613696 3629696 4148224 6323968 7259392 12647936 14295979 14518784 25295872 28591958 29037568 57183916 100071853 114367832 200143706 228735664 400287412 457471328 800574824 914942656 1601149648 1829885312 3202299296 3659770624 6404598592 7319541248 12809197184 14639082496 25618394368 51236788736 102473577472