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435030002134520 = 2351317439112099177
BaseRepresentation
bin110001011101010000101000…
…0101111100110110111111000
32010001022110110211101100102112
41202322201100233212313320
5424010012421021301040
64141122005104351452
7160426610666122652
oct14272412057466770
92101273424340375
10435030002134520
11116683207aa5a01
124095b88b615588
13158981cb6b2a80
14795d7c8bbd6d2
1535461de525365
hex18ba850be6df8

435030002134520 has 128 divisors (see below), whose sum is σ = 1118660117097600. Its totient is φ = 150833476878336.

The previous prime is 435030002134501. The next prime is 435030002134531. The reversal of 435030002134520 is 25431200030534.

It is a super-2 number, since 2×4350300021345202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52168829 + ... + 59930348.

It is an arithmetic number, because the mean of its divisors is an integer number (8739532164825).

Almost surely, 2435030002134520 is an apocalyptic number.

435030002134520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

435030002134520 is an abundant number, since it is smaller than the sum of its proper divisors (683630114963080).

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

435030002134520 is a wasteful number, since it uses less digits than its factorization.

435030002134520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112099657 (or 112099653 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 435030002134520 in words is "four hundred thirty-five trillion, thirty billion, two million, one hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 439 442 520 680 878 884 1105 1756 1768 2195 2210 3512 4390 4420 5707 7463 8780 8840 11414 14926 17560 22828 28535 29852 37315 45656 57070 59704 74630 97019 114140 149260 194038 228280 298520 388076 485095 776152 970190 1940380 3880760 112099177 224198354 448396708 560495885 896793416 1120991770 1457289301 1905686009 2241983540 2914578602 3811372018 4483967080 5829157204 7286446505 7622744036 9528430045 11658314408 14572893010 15245488072 19056860090 24773918117 29145786020 38113720180 49211538703 49547836234 58291572040 76227440360 98423077406 99095672468 123869590585 196846154812 198191344936 246057693515 247739181170 393692309624 492115387030 495478362340 639750003139 836596157951 984230774060 990956724680 1279500006278 1673192315902 1968461548120 2559000012556 3198750015695 3346384631804 4182980789755 5118000025112 6397500031390 6692769263608 8365961579510 10875750053363 12795000062780 16731923159020 21751500106726 25590000125560 33463846318040 43503000213452 54378750266815 87006000426904 108757500533630 217515001067260 435030002134520