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10098121947520 = 275591132366629
BaseRepresentation
bin1001001011110010011011…
…1110001011100110000000
31022202101000110222122101211
42102330212332023212000
52310421423204310040
633251002502535504
72061364606213165
oct222744676134600
938671013878354
1010098121947520
113243653644532
121171100737594
1358333084a0b9
1426ca7499a06c
15127a1e3578ea
hex92f26f8b980

10098121947520 has 128 divisors (see below), whose sum is σ = 24767256276000. Its totient is φ = 3935645564928.

The previous prime is 10098121947517. The next prime is 10098121947533. The reversal of 10098121947520 is 2574912189001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3083566 + ... + 5450194.

Almost surely, 210098121947520 is an apocalyptic number.

10098121947520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10098121947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383628138000).

10098121947520 is an abundant number, since it is smaller than the sum of its proper divisors (14669134328480).

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

10098121947520 is a wasteful number, since it uses less digits than its factorization.

10098121947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366820 (or 2366808 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

The spelling of 10098121947520 in words is "ten trillion, ninety-eight billion, one hundred twenty-one million, nine hundred forty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 113 118 128 160 226 236 295 320 452 472 565 590 640 904 944 1130 1180 1808 1888 2260 2360 3616 3776 4520 4720 6667 7232 7552 9040 9440 13334 14464 18080 18880 26668 33335 36160 37760 53336 66670 72320 106672 133340 213344 266680 426688 533360 853376 1066720 2133440 2366629 4266880 4733258 9466516 11833145 18933032 23666290 37866064 47332580 75732128 94665160 139631111 151464256 189330320 267429077 279262222 302928512 378660640 534858154 558524444 698155555 757321280 1069716308 1117048888 1337145385 1396311110 1514642560 2139432616 2234097776 2674290770 2792622220 4278865232 4468195552 5348581540 5585244440 8557730464 8936391104 10697163080 11170488880 15778315543 17115460928 17872782208 21394326160 22340977760 31556631086 34230921856 42788652320 44681955520 63113262172 78891577715 85577304640 89363911040 126226524344 157783155430 171154609280 252453048688 315566310860 504906097376 631132621720 1009812194752 1262265243440 2019624389504 2524530486880 5049060973760 10098121947520