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9906889770240 = 28352713950947
BaseRepresentation
bin1001000000101010000010…
…1001010100010100000000
31022002002102011220111120020
42100022200221110110000
52244303302240121430
633023055021413440
72041514651425431
oct220124051242400
938062364814506
109906889770240
11317a541004311
12114003140a280
1356b2a5b68c08
142636d3133488
15122a7a9ebb10
hex902a0a54500

9906889770240 has 144 divisors (see below), whose sum is σ = 31651824902208. Its totient is φ = 2640860725248.

The previous prime is 9906889770233. The next prime is 9906889770259. The reversal of 9906889770240 is 420779886099.

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, 9942447 + ... + 10893393.

Almost surely, 29906889770240 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 9906889770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15825912451104).

9906889770240 is an abundant number, since it is smaller than the sum of its proper divisors (21744935131968).

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

9906889770240 is a wasteful number, since it uses less digits than its factorization.

9906889770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953684 (or 953670 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 69.

The spelling of 9906889770240 in words is "nine trillion, nine hundred six billion, eight hundred eighty-nine million, seven hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 2713 3840 5426 8139 10852 13565 16278 21704 27130 32556 40695 43408 54260 65112 81390 86816 108520 130224 162780 173632 217040 260448 325560 347264 434080 520896 651120 694528 868160 950947 1041792 1302240 1736320 1901894 2083584 2604480 2852841 3472640 3803788 4754735 5208960 5705682 7607576 9509470 10417920 11411364 14264205 15215152 19018940 22822728 28528410 30430304 38037880 45645456 57056820 60860608 76075760 91290912 114113640 121721216 152151520 182581824 228227280 243442432 304303040 365163648 456454560 608606080 730327296 912909120 1217212160 1825818240 2579919211 3651636480 5159838422 7739757633 10319676844 12899596055 15479515266 20639353688 25799192110 30959030532 38698788165 41278707376 51598384220 61918061064 77397576330 82557414752 103196768440 123836122128 154795152660 165114829504 206393536880 247672244256 309590305320 330229659008 412787073760 495344488512 619180610640 660459318016 825574147520 990688977024 1238361221280 1651148295040 1981377954048 2476722442560 3302296590080 4953444885120 9906889770240