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9958742107392 = 283134801207763
BaseRepresentation
bin1001000011101011001101…
…0010010010010100000000
31022021001020212020011001210
42100322303102102110000
52301131000434414032
633102552153130120
72045331625136151
oct220726322222400
938231225204053
109958742107392
11319a52a328711
12114a0a26b9940
1357314a5c1b10
14266011881928
151240b2cd72cc
hex90eb3492500

9958742107392 has 144 divisors (see below), whose sum is σ = 28549688944448. Its totient is φ = 3063575347200.

The previous prime is 9958742107343. The next prime is 9958742107399. The reversal of 9958742107392 is 2937012478599.

It is a happy number.

It is a super-2 number, since 2×99587421073922 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9958742107399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47829303 + ... + 48037065.

Almost surely, 29958742107392 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 9958742107392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274844472224).

9958742107392 is an abundant number, since it is smaller than the sum of its proper divisors (18590946837056).

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

9958742107392 is a wasteful number, since it uses less digits than its factorization.

9958742107392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212596 (or 212582 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 66.

The spelling of 9958742107392 in words is "nine trillion, nine hundred fifty-eight billion, seven hundred forty-two million, one hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4801 4992 9602 9984 14403 19204 28806 38408 57612 62413 76816 115224 124826 153632 187239 207763 230448 249652 307264 374478 415526 460896 499304 614528 623289 748956 831052 921792 998608 1229056 1246578 1497912 1662104 1843584 1997216 2493156 2700919 2995824 3324208 3687168 3994432 4986312 5401838 5991648 6648416 7988864 8102757 9972624 10803676 11983296 13296832 15977728 16205514 19945248 21607352 23966592 26593664 32411028 39890496 43214704 47933184 53187328 64822056 79780992 86429408 129644112 159561984 172858816 259288224 345717632 518576448 691435264 997470163 1037152896 1994940326 2074305792 2992410489 3989880652 5984820978 7979761304 11969641956 12967112119 15959522608 23939283912 25934224238 31919045216 38901336357 47878567824 51868448476 63838090432 77802672714 95757135648 103736896952 127676180864 155605345428 191514271296 207473793904 255352361728 311210690856 383028542592 414947587808 622421381712 766057085184 829895175616 1244842763424 1659790351232 2489685526848 3319580702464 4979371053696 9958742107392