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90527980488228 = 223219673541557861
BaseRepresentation
bin10100100101010110110000…
…000111101000011000100100
3102212112101112121112001201200
4110211112300013220120210
543331202301001110403
6520311551411522500
725032300514544613
oct2445266007503044
9385471477461650
1090527980488228
1126932778a20598
12a1a0b195b9430
133b689a0cb40ca
14184d81305787a
15a6ec91b6eca3
hex5255b01e8624

90527980488228 has 144 divisors (see below), whose sum is σ = 244543225967040. Its totient is φ = 28153096646400.

The previous prime is 90527980488137. The next prime is 90527980488251. The reversal of 90527980488228 is 82288408972509.

90527980488228 is a `hidden beast` number, since 9 + 0 + 52 + 7 + 98 + 0 + 488 + 2 + 2 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161998018 + ... + 162555878.

Almost surely, 290527980488228 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 90527980488228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122271612983520).

90527980488228 is an abundant number, since it is smaller than the sum of its proper divisors (154015245478812).

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

90527980488228 is a wasteful number, since it uses less digits than its factorization.

90527980488228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561498 (or 561493 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 90527980488228 in words is "ninety trillion, five hundred twenty-seven billion, nine hundred eighty million, four hundred eighty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 171 201 228 268 342 402 603 684 804 1206 1273 2412 2546 3541 3819 5092 7082 7638 10623 11457 14164 15276 21246 22914 31869 42492 45828 63738 67279 127476 134558 201837 237247 269116 403674 474494 557861 605511 711741 807348 948988 1115722 1211022 1423482 1673583 2135223 2231444 2422044 2846964 3347166 4270446 4507693 5020749 6694332 8540892 9015386 10041498 10599359 13523079 18030772 20082996 21198718 27046158 31798077 37376687 40569237 42397436 54092316 63596154 74753374 81138474 95394231 112130061 127192308 149506748 162276948 190788462 224260122 336390183 381576924 448520244 672780366 710157053 1345560732 1420314106 1975385801 2130471159 2840628212 3950771602 4260942318 5926157403 6391413477 7901543204 8521884636 11852314806 12782826954 17778472209 23704629612 25565653908 35556944418 37532330219 71113888836 75064660438 112596990657 132350848667 150129320876 225193981314 264701697334 337790971971 397052546001 450387962628 529403394668 675581943942 794105092002 1191157638003 1351163887884 1588210184004 2382315276006 2514666124673 4764630552012 5029332249346 7543998374019 10058664498692 15087996748038 22631995122057 30175993496076 45263990244114 90527980488228