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352345035011352 = 233731931095795101
BaseRepresentation
bin101000000011101001011100…
…0101001100111010100011000
31201012112212010022012100022120
41100013102320221213110120
5332140310112430330402
63245213024032221240
7134134042301010045
oct12007227051472430
91635485108170276
10352345035011352
11a22a4765714239
12336269b339a820
131217acc0439b66
14630183abb61cc
152ab04826b23bc
hex14074b8a67518

352345035011352 has 128 divisors (see below), whose sum is σ = 897647129453760. Its totient is φ = 115227530035200.

The previous prime is 352345035011341. The next prime is 352345035011363. The reversal of 352345035011352 is 253110530543253.

It is an interprime number because it is at equal distance from previous prime (352345035011341) and next prime (352345035011363).

It is a super-3 number, since 3×3523450350113523 (a number of 45 digits) contains 333 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, 3704908602 + ... + 3705003702.

Almost surely, 2352345035011352 is an apocalyptic number.

It is an amenable number.

352345035011352 is an abundant number, since it is smaller than the sum of its proper divisors (545302094442408).

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

352345035011352 is a wasteful number, since it uses less digits than its factorization.

352345035011352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106333 (or 106329 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

The spelling of 352345035011352 in words is "three hundred fifty-two trillion, three hundred forty-five billion, thirty-five million, eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 73 146 193 219 292 386 438 579 584 772 876 1158 1544 1752 2316 4632 10957 14089 21914 28178 32871 42267 43828 56356 65742 84534 87656 95101 112712 131484 169068 190202 262968 285303 338136 380404 570606 760808 799861 1141212 1599722 2114701 2282424 2399583 3199444 4229402 4799166 6344103 6398888 6942373 8458804 9598332 12688206 13884746 16917608 18354493 19196664 20827119 25376412 27769492 36708986 41654238 50752824 55063479 55538984 73417972 83308476 110126958 146835944 154373173 166616952 220253916 308746346 440507832 463119519 617492692 926239038 1042021657 1234985384 1339877989 1852478076 2084043314 2679755978 3126064971 3704956152 4019633967 4168086628 5359511956 6252129942 8039267934 8336173256 10719023912 12504259884 16078535868 25008519768 32157071736 76067580961 152135161922 201110179801 228202742883 304270323844 402220359602 456405485766 603330539403 608540647688 804440719204 912810971532 1206661078806 1608881438408 1825621943064 2413322157612 4826644315224 14681043125473 29362086250946 44043129376419 58724172501892 88086258752838 117448345003784 176172517505676 352345035011352