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352401505434252 = 223340074871167177
BaseRepresentation
bin101000000100000011101111…
…0100011001011101010001100
31201012202020212211021001112000
41100020013132203023222030
5332142221240342344002
63245255003333312300
7134141111551460361
oct12010073643135214
91635666784231460
10352401505434252
11a231670380282a
1233635933195690
131218341c873091
1463044769ac468
152ab1b8a11461c
hex14081de8cba8c

352401505434252 has 96 divisors (see below), whose sum is σ = 914054622243840. Its totient is φ = 117413041057920.

The previous prime is 352401505434211. The next prime is 352401505434283. The reversal of 352401505434252 is 252434505104253.

352401505434252 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 0 + 1 + 50 + 543 + 4 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 352401505434198 and 352401505434207.

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, 2107870888 + ... + 2108038064.

It is an arithmetic number, because the mean of its divisors is an integer number (9521402315040).

Almost surely, 2352401505434252 is an apocalyptic number.

It is an amenable number.

352401505434252 is an abundant number, since it is smaller than the sum of its proper divisors (561653116809588).

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

352401505434252 is a wasteful number, since it uses less digits than its factorization.

352401505434252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176068 (or 176060 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 352401505434252 in words is "three hundred fifty-two trillion, four hundred one billion, five hundred five million, four hundred thirty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 4007 4871 8014 9742 12021 14613 16028 19484 24042 29226 36063 43839 48084 58452 72126 87678 108189 131517 144252 167177 175356 216378 263034 334354 432756 501531 526068 668708 1003062 1504593 2006124 3009186 4513779 6018372 9027558 18055116 19518097 39036194 58554291 78072388 117108582 175662873 234217164 351325746 526988619 669878239 702651492 814319167 1053977238 1339756478 1628638334 2009634717 2107954476 2442957501 2679512956 3257276668 4019269434 4885915002 6028904151 7328872503 8038538868 9771830004 12057808302 14657745006 18086712453 21986617509 24115616604 29315490012 36173424906 43973235018 72346849812 87946470036 3262976902169 6525953804338 9788930706507 13051907608676 19577861413014 29366792119521 39155722826028 58733584239042 88100376358563 117467168478084 176200752717126 352401505434252