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120023019396384 = 25313175657193599
BaseRepresentation
bin11011010010100100001001…
…011011111001110100100000
3120201222002101120211112100220
4123102210021123321310200
5111212424120431141014
61103133451450243040
734165243210630026
oct3322441133716440
9521862346745326
10120023019396384
1135274527501445
1211565322426480
1351c817851a590
14218d20636a716
15dd211a4e76a9
hex6d29096f9d20

120023019396384 has 96 divisors (see below), whose sum is σ = 359254422374400. Its totient is φ = 34757797466112.

The previous prime is 120023019396373. The next prime is 120023019396421. The reversal of 120023019396384 is 483693910320021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 2828575584 + ... + 2828618015.

It is an arithmetic number, because the mean of its divisors is an integer number (3742233566400).

Almost surely, 2120023019396384 is an apocalyptic number.

It is an amenable number.

120023019396384 is an abundant number, since it is smaller than the sum of its proper divisors (239231402978016).

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

120023019396384 is a wasteful number, since it uses less digits than its factorization.

120023019396384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657193642 (or 5657193634 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 120023019396384 in words is "one hundred twenty trillion, twenty-three billion, nineteen million, three hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 7072 10608 21216 5657193599 11314387198 16971580797 22628774396 33943161594 45257548792 67886323188 73543516787 90515097584 96172291183 135772646376 147087033574 181030195168 192344582366 220630550361 271545292752 288516873549 294174067148 384689164732 441261100722 543090585504 577033747098 588348134296 769378329464 882522201444 1154067494196 1176696268592 1250239785379 1538756658928 1765044402888 2308134988392 2353392537184 2500479570758 3077513317856 3530088805776 3750719356137 4616269976784 5000959141516 7060177611552 7501438712274 9232539953568 10001918283032 15002877424548 20003836566064 30005754849096 40007673132128 60011509698192 120023019396384