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10098928598752 = 2572172273166679
BaseRepresentation
bin1001001011110101011100…
…0011010011111011100000
31022202110002200211202212101
42102331113003103323200
52310430101210130002
633251214520140144
72061423602511100
oct222752703237340
938673080752771
1010098928598752
113243a27a08544
1211712a6907654
1358342b9bb516
1426cb0db77200
15127a6a095587
hex92f570d3ee0

10098928598752 has 144 divisors (see below), whose sum is σ = 24499761824160. Its totient is φ = 4071700856832.

The previous prime is 10098928598743. The next prime is 10098928598753. The reversal of 10098928598752 is 25789582989001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10098928598753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60505749 + ... + 60672427.

It is an arithmetic number, because the mean of its divisors is an integer number (170137234890).

Almost surely, 210098928598752 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 10098928598752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249880912080).

10098928598752 is an abundant number, since it is smaller than the sum of its proper divisors (14400833225408).

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

10098928598752 is a wasteful number, since it uses less digits than its factorization.

10098928598752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168993 (or 168978 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 73.

The spelling of 10098928598752 in words is "ten trillion, ninety-eight billion, nine hundred twenty-eight million, five hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1666 1904 2273 3332 3808 4546 6664 9092 13328 15911 18184 26656 31822 36368 38641 63644 72736 77282 111377 127288 154564 166679 222754 254576 270487 309128 333358 445508 509152 540974 618256 666716 891016 1081948 1166753 1236512 1333432 1782032 1893409 2163896 2333506 2666864 2833543 3564064 3786818 4327792 4667012 5333728 5667086 7573636 8167271 8655584 9334024 11334172 15147272 16334542 18668048 19834801 22668344 30294544 32669084 37336096 39669602 45336688 60589088 65338168 79339204 90673376 130676336 138843607 158678408 261352672 277687214 317356816 378861367 555374428 634713632 757722734 1110748856 1515445468 2221497712 2652029569 3030890936 4442995424 5304059138 6061781872 6440643239 10608118276 12123563744 12881286478 18564206983 21216236552 25762572956 37128413966 42432473104 45084502673 51525145912 74256827932 84864946208 90169005346 103050291824 148513655864 180338010692 206100583648 297027311728 315591518711 360676021384 594054623456 631183037422 721352042768 1262366074844 1442704085536 2524732149688 5049464299376 10098928598752