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106236575243544 = 233231072297854449
BaseRepresentation
bin11000001001111100100001…
…010101000101110100011000
3111221011010011120220122112010
4120021330201111011310120
5102411040001230243134
61013540224154145520
731243224241064514
oct3011744125056430
9457133146818463
10106236575243544
1130939751163629
12bab943a1222a0
1347380b2194245
141c33c404bb144
15c436ccbbace9
hex609f21545d18

106236575243544 has 128 divisors (see below), whose sum is σ = 280950534720000. Its totient is φ = 33409428670464.

The previous prime is 106236575243473. The next prime is 106236575243563. The reversal of 106236575243544 is 445342575632601.

It is a super-2 number, since 2×1062365752435442 (a number of 29 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, 9598432 + ... + 17452880.

It is an arithmetic number, because the mean of its divisors is an integer number (2194926052500).

Almost surely, 2106236575243544 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 106236575243544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140475267360000).

106236575243544 is an abundant number, since it is smaller than the sum of its proper divisors (174713959476456).

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

106236575243544 is a wasteful number, since it uses less digits than its factorization.

106236575243544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854817 (or 7854813 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 57.

The spelling of 106236575243544 in words is "one hundred six trillion, two hundred thirty-six billion, five hundred seventy-five million, two hundred forty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 107 138 184 214 229 276 321 428 458 552 642 687 856 916 1284 1374 1832 2461 2568 2748 4922 5267 5496 7383 9844 10534 14766 15801 19688 21068 24503 29532 31602 42136 49006 59064 63204 73509 98012 126408 147018 196024 294036 563569 588072 1127138 1690707 2254276 3381414 4508552 6762828 7854449 13525656 15708898 23563347 31417796 47126694 62835592 94253388 180652327 188506776 361304654 541956981 722609308 840426043 1083913962 1445218616 1680852086 1798668821 2167827924 2521278129 3361704172 3597337642 4335655848 5042556258 5396006463 6723408344 7194675284 10085112516 10792012926 14389350568 19329798989 20170225032 21584025852 38659597978 41369382883 43168051704 57989396967 77319195956 82738765766 115978793934 124108148649 154638391912 165477531532 192457563847 231957587868 248216297298 330955063064 384915127694 463915175736 496432594596 577372691541 769830255388 992865189192 1154745383082 1539660510776 2309490766164 4426523968481 4618981532328 8853047936962 13279571905443 17706095873924 26559143810886 35412191747848 53118287621772 106236575243544