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557073275150 = 252723168310739
BaseRepresentation
bin10000001101101000010…
…01111001100100001110
31222020220101122111021002
420012310021321210032
533111341224301100
61103525501340302
755150536465500
oct10066411714416
91866811574232
10557073275150
111a5287382897
128bb6a867692
13406bb43abc2
141cd69105d70
15e7564682d5
hex81b427990e

557073275150 has 144 divisors (see below), whose sum is σ = 1246143813120. Its totient is φ = 184547563200.

The previous prime is 557073275147. The next prime is 557073275167. The reversal of 557073275150 is 51572370755.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 557073275095 and 557073275104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51868481 + ... + 51879219.

It is an arithmetic number, because the mean of its divisors is an integer number (8653776480).

Almost surely, 2557073275150 is an apocalyptic number.

557073275150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

557073275150 is an abundant number, since it is smaller than the sum of its proper divisors (689070537970).

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

557073275150 is a wasteful number, since it uses less digits than its factorization.

557073275150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11479 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 1286250, while the sum is 47.

The spelling of 557073275150 in words is "five hundred fifty-seven billion, seventy-three million, two hundred seventy-five thousand, one hundred fifty".

Divisors: 1 2 5 7 10 14 25 31 35 49 50 62 70 98 155 175 217 245 310 350 434 490 683 775 1085 1225 1366 1519 1550 2170 2450 3038 3415 4781 5425 6830 7595 9562 10739 10850 15190 17075 21173 21478 23905 33467 34150 37975 42346 47810 53695 66934 75173 75950 105865 107390 119525 148211 150346 167335 211730 239050 268475 296422 332909 334670 375865 526211 529325 536950 665818 741055 751730 836675 1037477 1052422 1058650 1482110 1664545 1673350 1879325 2074954 2330363 2631055 3329090 3705275 3758650 4660726 5187385 5262110 7334737 7410550 8322725 10374770 11651815 13155275 14669474 16312541 16645450 23303630 25936925 26310550 32625082 36673685 51343159 51873850 58259075 73347370 81562705 102686318 116518150 163125410 183368425 227376847 256715795 359402113 366736850 407813525 454753694 513431590 718804226 815627050 1136884235 1283578975 1591637929 1797010565 2273768470 2567157950 3183275858 3594021130 5684421175 7958189645 8985052825 11141465503 11368842350 15916379290 17970105650 22282931006 39790948225 55707327515 79581896450 111414655030 278536637575 557073275150